丸野 健一

研究成果

年別の研究成果 1997 2003 2004 2008 2009 2010 2015 2023

• 49 Article
• 3 Conference contribution
• 2 Comment/debate
• 1 Conference article
• 1 その他
  • 1 Editorial

年別の研究成果

年別の研究成果

検索結果

• An integrable semi-discrete Degasperis-Procesi equation

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2017 4月 19, In: Nonlinearity. 30, 6, p. 2246-2267 22 p.

  研究成果: Article › 査読

  • Degasperis-Procesi Equation 100%
  • Solitons 99%
  • Discrete Equations 76%
  • Soliton Solution 30%
  • solitary waves 22%
  4 被引用数 (Scopus)

• An integrable semi-discretization of the Camassa-Holm equation and its determinant solution

  Ohta, Y., Maruno, K. I. & Feng, B. F., 2008 9月 5, In: Journal of Physics A: Mathematical and Theoretical. 41, 35, 355205.

  研究成果: Article › 査読

  • Solitons 100%
  • Semidiscretization 87%
  • determinants 75%
  • Determinant 59%
  • Discrete Equations 45%
  42 被引用数 (Scopus)

• An integrable semi-discretization of the coupled Yajima-Oikawa system

  Chen, J., Chen, Y., Feng, B. F., Maruno, K. I. & Ohta, Y., 2016 3月 8, In: Journal of Physics A: Mathematical and Theoretical. 49, 16, 165201.

  研究成果: Article › 査読

  • Semidiscretization 100%
  • planetary waves 86%
  • hierarchies 80%
  • analogs 65%
  • solitary waves 64%
  10 被引用数 (Scopus)

• A self-adaptive moving mesh method for the Camassa-Holm equation

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2010 11月 1, In: Journal of Computational and Applied Mathematics. 235, 1, p. 229-243 15 p.

  研究成果: Article › 査読

  • Moving Mesh Method 100%
  • Solitons 92%
  • Non-uniform Mesh 88%
  • Adaptive Mesh 88%
  • Adaptive Method 77%
  24 被引用数 (Scopus)

• A systematic construction of integrable delay-difference and delay-differential analogues of soliton equations

  Nakata, K. & Maruno, K. I., 2022 8月 19, In: Journal of Physics A: Mathematical and Theoretical. 55, 33, 335201.

  研究成果: Article › 査読

  • Solitons 100%
  • Soliton Equation 90%
  • analogs 57%
  • solitary waves 56%
  • Soliton Solution 46%
  1 被引用数 (Scopus)

• A two-component generalization of the reduced Ostrovsky equation and its integrable semi-discrete analogue

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2017 1月 4, In: Journal of Physics A: Mathematical and Theoretical. 50, 5, 055201.

  研究成果: Article › 査読

  • Ostrovsky Equation 100%
  • Solitons 92%
  • analogs 52%
  • Analogue 42%
  • Soliton Solution 35%
  11 被引用数 (Scopus)

• Bilinear forms of integrable lattices related to Toda and Lotka-Volterra lattices

  Maruno, K. I. & Ma, W. X., 2002, In: Journal of Nonlinear Mathematical Physics. 9, p. 127-139 13 p.

  研究成果: Article › 査読

  Open Access

  • Lattice System 100%
  • Lotka-Volterra 93%
  • Bilinear form 82%
  • Lotka-Volterra System 51%
  • determinants 11%
  4 被引用数 (Scopus)

• Bilinearization of discrete soliton equations and singularity confinement

  Maruno, K., Kajiwara, K., Nakao, S. & Oikawa, M., 1997 5月 12, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 229, 3, p. 173-182 10 p.

  研究成果: Article › 査読

  • solitary waves 100%
  • derivation 34%
  9 被引用数 (Scopus)

• Bilinear structure and determinant solution for the relativistic Lotka-Volterra equation

  Maruno, K. I. & Oikawa, M., 2000 5月 29, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 270, 3-4, p. 122-131 10 p.

  研究成果: Article › 査読

  • Volterra equations 100%
  • determinants 65%
  • solitary waves 9%
  • formalism 8%
  2 被引用数 (Scopus)

• Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation

  Maruno, K. I. & Ohta, Y., 2006 5月, In: journal of the physical society of japan. 75, 5, 054002.

  研究成果: Article › 査読

  • determinants 100%
  • nonlinear equations 88%
  • solitary waves 75%
  • regularity 48%
  21 被引用数 (Scopus)

• Casorati determinant solution for the discrete-time relativistic Toda lattice equation

  Maruno, K. I., Kajiwara, K. & Oikawa, M., 1998 5月 11, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 241, 6, p. 335-343 9 p.

  研究成果: Article › 査読

  • determinants 100%
  • solitary waves 18%
  • formalism 16%
  18 被引用数 (Scopus)

• Complexiton solutions of the Toda lattice equation

  Ma, W. X. & Maruno, K. I., 2004 11月 15, In: Physica A: Statistical Mechanics and its Applications. 343, 1-4, p. 219-237 19 p.

  研究成果: Article › 査読

  • difference equations 100%
  • Toda Lattice 99%
  • eigenvectors 69%
  • determinants 42%
  • Determinant 33%
  135 被引用数 (Scopus)

• Construction of integrals of higher-order mappings

  Maruno, K. I. & Quispel, G. R. W., 2006 12月, In: journal of the physical society of japan. 75, 12, 123001.

  研究成果: Article › 査読

  • conservation laws 100%
  9 被引用数 (Scopus)

• Determinant and Pfaffian solutions of the strong coupling limit of integrable discrete NLS systems

  Maruno, K. I. & Prinari, B., 2008 10月 1, In: Inverse Problems. 24, 5, 055011.

  研究成果: Article › 査読

  • Strong Coupling 100%
  • Pfaffian 87%
  • nonlinear systems 75%
  • determinants 75%
  • Discrete Systems 70%
  2 被引用数 (Scopus)

• Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves

  Feng, B. F., Inoguchi, J. I., Kajiwara, K., Maruno, K. I. & Ohta, Y., 2011 9月 30, In: Journal of Physics A: Mathematical and Theoretical. 44, 39, 395201.

  研究成果: Article › 査読

  • hodographs 100%
  • Solitons 92%
  • Plane Curve 70%
  • Integrable Systems 69%
  • Discrete Systems 65%
  26 被引用数 (Scopus)

• Dissipative solitons of the discrete complex cubic-quintic Ginzburg-Landau equation

  Maruno, K. I., Ankiewicz, A. & Akhmediev, N., 2005 12月 5, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 347, 4-6, p. 231-240 10 p.

  研究成果: Article › 査読

  • Landau-Ginzburg equations 100%
  • phase shift 67%
  • solitary waves 65%
  20 被引用数 (Scopus)

• Exact localized and periodic solutions of the discrete complex Ginzburg-Landau equation

  Maruno, K. I., Ankiewicz, A. & Akhmediev, N., 2003 6月 1, In: Optics Communications. 221, 1-3, p. 199-209 11 p.

  研究成果: Article › 査読

  • Solitons 100%
  • Landau-Ginzburg equations 87%
  • Hamiltonians 84%
  • Phase shift 76%
  • Energy balance 74%
  49 被引用数 (Scopus)

• Exact localized solutions of quintic discrete nonlinear Schrödinger equation

  Maruno, K. I., Ohta, Y. & Joshi, N., 2003 5月 12, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 311, 2-3, p. 214-220 7 p.

  研究成果: Article › 査読

  • nonlinear equations 100%
  • difference equations 44%
  • set theory 36%
  5 被引用数 (Scopus)

• Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation

  Maruno, K. I., Ankiewicz, A. & Akhmediev, N., 2003 2月 15, In: Physica D: Nonlinear Phenomena. 176, 1-2, p. 44-66 23 p.

  研究成果: Article › 査読

  • Swift-Hohenberg Equation 100%
  • Solitons 97%
  • Quintic 80%
  • Soliton Solution 75%
  • Analytic Solution 70%
  35 被引用数 (Scopus)

• General high-order rogue waves of the (1+1)-dimensional yajima-oikawa system

  Chen, J., Chen, Y., Feng, B. F., Maruno, K. I. & Ohta, Y., 2018, In: journal of the physical society of japan. 87, 9, 094007.

  研究成果: Article › 査読

  • determinants 100%
  • hierarchies 93%
  • nonlinear equations 88%
  • invariance 87%
  32 被引用数 (Scopus)

• Generalized Casorati determinant and positon-negaton-type solutions of the Toda lattice equation

  Maruno, K. I., Ma, W. X. & Oikawa, M., 2004 4月, In: journal of the physical society of japan. 73, 4, p. 831-837 7 p.

  研究成果: Article › 査読

  • determinants 100%
  • formulations 9%
  • interactions 5%
  16 被引用数 (Scopus)

• General mixed multi-soliton solutions to one-dimensional multicomponent Yajima-Oikawa system

  Chen, J., Chen, Y., Feng, B. F. & Maruno, K. I., 2015 7月 15, In: journal of the physical society of japan. 84, 7, 074001.

  研究成果: Article › 査読

  • solitary waves 100%
  • planetary waves 26%
  • inelastic collisions 14%
  • determinants 13%
  • hierarchies 12%
  39 被引用数 (Scopus)

• Geometric Formulation and Multi-dark Soliton Solution to the Defocusing Complex Short Pulse Equation

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2017 4月 1, In: Studies in Applied Mathematics. 138, 3, p. 343-367 25 p.

  研究成果: Article › 査読

  • Short Pulse 100%
  • Solitons 89%
  • Soliton Solution 69%
  • Byproducts 65%
  • Formulation 40%
  15 被引用数 (Scopus)

• High-order rogue waves of a long-wave-short-wave model of Newell type

  Chen, J., Chen, L., Feng, B. F. & Maruno, K. I., 2019 11月 25, In: Physical Review E. 100, 5, 052216.

  研究成果: Article › 査読

  • planetary waves 100%
  • Higher Order 66%
  • Model 30%
  • Modulation 15%
  • deep water 15%
  19 被引用数 (Scopus)

• Integrable Discrete Model for One-Dimensional Soil Water Infiltration

  Triadis, D., Broadbridge, P., Kajiwara, K. & Maruno, K. I., 2018 5月, In: Studies in Applied Mathematics. 140, 4, p. 483-507 25 p.

  研究成果: Article › 査読

  Open Access

  • Infiltration 100%
  • Integrable Models 85%
  • Soil 79%
  • Discrete Model 71%
  • Water 66%

• Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation

  Feng, B. F., Chen, J., Chen, Y., Maruno, K. I. & Ohta, Y., 2015 9月 25, In: Journal of Physics A: Mathematical and Theoretical. 48, 38, 385202.

  研究成果: Article › 査読

  • Short Pulse 100%
  • Moving Mesh Method 96%
  • Solitons 89%
  • Adaptive Mesh 85%
  • Adaptive Method 75%
  10 被引用数 (Scopus)

• Integrable discretizations for the short-wave model of the Camassa-Holm equation

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2010, In: Journal of Physics A: Mathematical and Theoretical. 43, 26, 265202.

  研究成果: Article › 査読

  • Discretization 60%
  • Determinant 34%
  • determinants 28%
  • Model 26%
  • Analogue 26%
  22 被引用数 (Scopus)

• Integrable discretizations of a two-dimensional hamiltonian system with a quartic potential

  Feng, B. F. & Maruno, K. I., 2008 5月 10, In: International Journal of Modern Physics B. 22, 12, p. 1911-1922 12 p.

  研究成果: Article › 査読

  • Two-dimensional Systems 100%
  • Quartic 89%
  • Hamiltonian Systems 78%
  • Discretization 63%
  • Separation of Variables 48%

• Integrable discretizations of the Dym equation

  Feng, B. F., Inoguchi, J. I., Kajiwara, K., Maruno, K. I. & Ohta, Y., 2013 10月, In: Frontiers of Mathematics in China. 8, 5, p. 1017-1029 13 p.

  研究成果: Article › 査読

  • Discretization 100%
  • Soliton Solution 73%
  • Analogue 43%
  3 被引用数 (Scopus)

• Integrable discretizations of the short pulse equation

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2010, In: Journal of Physics A: Mathematical and Theoretical. 43, 8, 085203.

  研究成果: Article › 査読

  • Short Pulse 100%
  • Solitons 89%
  • Discretization 47%
  • pulses 31%
  • determinants 16%
  62 被引用数 (Scopus)

• Integrable semi-discretization of a multi-component short pulse equation

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2015 4月 16, In: Journal of Mathematical Physics. 56, 4, 043502.

  研究成果: Article › 査読

  • Short Pulse 100%
  • Semidiscretization 78%
  • pulses 31%
  • Pfaffian 31%
  • Soliton Solution 27%
  23 被引用数 (Scopus)

• Integrable semi-discretizations of the reduced Ostrovsky equation

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2015 4月 7, In: Journal of Physics A: Mathematical and Theoretical. 48, 13, 135203.

  研究成果: Article › 査読

  • Ostrovsky Equation 100%
  • Solitons 92%
  • Semidiscretization 81%
  • Degasperis-Procesi Equation 30%
  • Soliton Solution 23%
  13 被引用数 (Scopus)

• Isoperimetric deformations of curves on the Minkowski plane

  Park, H., Inoguchi, J. I., Kajiwara, K., Maruno, K. I., Matsuura, N. & Ohta, Y., 2019 7月 1, In: International Journal of Geometric Methods in Modern Physics. 16, 7, 1950100.

  研究成果: Article › 査読

  • defocusing 100%
  • curves 47%

• Localized solitons of a (2 + 1)-dimensional nonlocal nonlinear Schrödinger equation

  Maruno, K. I. & Ohta, Y., 2008 6月 9, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 372, 24, p. 4446-4450 5 p.

  研究成果: Article › 査読

  • nonlinear equations 100%
  • solitary waves 85%
  • determinants 56%
  • collisions 34%
  • pulses 26%
  45 被引用数 (Scopus)

• Multi-dark soliton solutions of the two-dimensional multi-component Yajima-Oikawa systems

  Chen, J., Chen, Y., Feng, B. F. & Maruno, K. I., 2015 3月 15, In: journal of the physical society of japan. 84, 3, 034002.

  研究成果: Article › 査読

  • solitary waves 100%
  • planetary waves 24%
  • determinants 12%
  • hierarchies 11%
  • elastic scattering 10%
  37 被引用数 (Scopus)

• Note on the two-component analogue of two-dimensional long wave – short wave resonance interaction system

  Maruno, K. I., Ohta, Y. & Oikawa, M., 2009, In: Glasgow Mathematical Journal. 51, A, p. 129-135 7 p.

  研究成果: Article › 査読

  • 2-D Systems 100%
  • Interaction 85%
  • Analogue 77%
  • Wave Packet 53%
  • Wronskian 51%
  5 被引用数 (Scopus)

• N-soliton solutions to the DKP equation and Weyl group actions

  Kodama, Y. & Maruno, K. I., 2006 4月 14, In: Journal of Physics A: Mathematical and General. 39, 15, p. 4063-4086 24 p.

  研究成果: Article › 査読

  • Solitons 100%
  • Weyl Group 78%
  • Soliton Solution 77%
  • Group Action 71%
  • solitary waves 56%
  15 被引用数 (Scopus)

• On the construction of the KP line-solitons and their interactions

  Chakravarty, S., Lewkow, T. & Maruno, K. I., 2010 4月, In: Applicable Analysis. 89, 4, p. 529-545 17 p.

  研究成果: Article › 査読

  • Solitons 100%
  • Soliton Solution 77%
  • Interaction 51%
  • Line 47%
  • Wronskian 45%
  13 被引用数 (Scopus)

• On the τ-functions of the Degasperis-Procesi equation

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2013 2月 1, In: Journal of Physics A: Mathematical and Theoretical. 46, 4, 045205.

  研究成果: Article › 査読

  • Degasperis-Procesi Equation 100%
  • Solitons 99%
  • Pfaffian 52%
  • Soliton Solution 30%
  • determinants 25%
  10 被引用数 (Scopus)

• On the τ-functions of the reduced Ostrovsky equation and the A ⁽²⁾ ₂ two-dimensional Toda system

  Feng, B. F., Maruno, K. I. & Ohta, Y., 2012, In: Journal of Physics A: Mathematical and Theoretical. 45, 35, 355203.

  研究成果: Article › 査読

  • Ostrovsky Equation 100%
  • Pfaffian 48%
  • Solitons 46%
  • Soliton Solution 28%
  • solitary waves 13%
  9 被引用数 (Scopus)

• Periodic and optical soliton solutions of the quintic complex Swift-Hohenberg equation

  Ankiewicz, A., Maruno, K. I. & Akhmediev, N., 2003 3月 10, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 308, 5-6, p. 397-404 8 p.

  研究成果: Article › 査読

  • solitary waves 100%
  • elliptic functions 22%
  • inoculation 19%
  • momentum 12%
  • energy 10%
  2 被引用数 (Scopus)

• Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems

  Chen, J., Chen, Y., Feng, B. F. & Maruno, K. I., 2015 7月 31, In: Physics Letters, Section A: General, Atomic and Solid State Physics. 379, 24-25, p. 1510-1519 10 p.

  研究成果: Article › 査読

  • parabolas 100%
  • planetary waves 41%
  • interactions 30%
  • requirements 26%
  • profiles 20%
  110 被引用数 (Scopus)

• Resonance and web structure in discrete soliton systems: The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues

  Maruno, K. I. & Biondini, G., 2004 12月 10, In: Journal of Physics A: Mathematical and General. 37, 49, p. 11819-11839 21 p.

  研究成果: Article › 査読

  • Solitons 100%
  • difference equations 89%
  • Toda Lattice 88%
  • Difference equations 88%
  • analogs 57%
  25 被引用数 (Scopus)

• Soliton interactions of the kadomtsev-petviashvili equation and generation of large-amplitude water waves

  Biondini, G., Maruno, K. I., Oikawa, M. & Tsuji, H., 2009 5月, In: Studies in Applied Mathematics. 122, 4, p. 377-394 18 p.

  研究成果: Article › 査読

  • Solitons 100%
  • Water waves 89%
  • Water Waves 81%
  • Interaction 51%
  • Shallow Water Waves 23%
  21 被引用数 (Scopus)

• Soliton resonance and web structure in the Davey-Stewartson system

  Biondini, G., Kireyev, D. & Maruno, K. I., 2022 7月 29, In: Journal of Physics A: Mathematical and Theoretical. 55, 30, 305701.

  研究成果: Article › 査読

  • Solitons 100%
  • Soliton Solution 77%
  • solitary waves 56%
  • Interaction 25%
  • Infinity 24%

• The coupled modified Yajima–Oikawa system: Model derivation and soliton solutions

  Chen, J., Feng, B. F. & Maruno, K. I., 2023 6月, In: Physica D: Nonlinear Phenomena. 448, 133695.

  研究成果: Article › 査読

  • Solitons 100%
  • Soliton Solution 77%
  • derivation 59%
  • solitary waves 56%
  • Model 23%

• The Derivative Yajima–Oikawa System: Bright, Dark Soliton and Breather Solutions

  Chen, J., Feng, B. F., Maruno, K. I. & Ohta, Y., 2018, In: Studies in Applied Mathematics. 141, 2, p. 145-185 41 p.

  研究成果: Article › 査読

  • Solitons 100%
  • Soliton Solution 77%
  • Derivatives 58%
  • Derivative 43%
  • Elastic collision 28%
  23 被引用数 (Scopus)

• The discrete potential Boussinesq equation and its multisoliton solutions

  Maruno, K. I. & Kajiwara, K., 2010 4月, In: Applicable Analysis. 89, 4, p. 593-609 17 p.

  研究成果: Article › 査読

  • Form 6%
  11 被引用数 (Scopus)

• Two-component analogue of two-dimensional long wave-short wave resonance interaction equations: A derivation and solutions

  Ohta, Y., Maruno, K. I. & Oikawa, M., 2007 7月 6, In: Journal of Physics A: Mathematical and Theoretical. 40, 27, p. 7659-7672 14 p., 015.

  研究成果: Article › 査読

  • planetary waves 100%
  • derivation 77%
  • analogs 74%
  • Interaction 67%
  • Analogue 60%
  44 被引用数 (Scopus)