Explicit Solutions of Magma Equation

Daisuke Takahashi, Junkichi Satsuma*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


Explicit solutions of a model equation describing the motion of melts in the Earth are obtained by an independent variable transformation. Included are periodic wave solutions, solitary wave solutions and weak solutions with compact support. It is also discussed that if the model equation is modified, the resultant equation can be reduced to the exactly solvable Korteweg-de Vries equation.

Original languageEnglish
Pages (from-to)417-421
Number of pages5
Journaljournal of the physical society of japan
Issue number2
Publication statusPublished - 1988 Jan 1
Externally publishedYes


  • compact support
  • explicit solution
  • magma
  • solitary wave
  • soliton

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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