Novel methods for finding general forms of new multi-soliton solutions to (1+1)-dimensional KdV equation and (2+1)-dimensional Kadomtsev–Petviashvili (KP) equation

Chun Ku Kuo, Sen Yung Lee

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, two novel methods used to solve (1+1) and (2+1)-dimensional completely integrable equations are proposed. The methods are applied to handle the KdV and Kadomtsev–Petviashvili (KP) equations with variable coefficients, and the general forms of new multi-soliton solutions are formally obtained, respectively. In addition, the new multi-soliton solution is suitable to two different type KP equations. Comparing with the Hirota’s method, the results show that new methods are straightforward handling the KdV and KP equations without conjecturing the transformation and good in dealing the equations with variable coefficients.

Original languageEnglish
Pages (from-to)569-579
Number of pages11
JournalWaves in Random and Complex Media
Volume29
Issue number3
DOIs
Publication statusPublished - 2019 Jul 3

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Physics and Astronomy(all)

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