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Explicit and exact travelling wave solutions for Konopelchenko–Dubrovsky equation

Authors
Publisher
Elsevier Ltd
Publication Date
Volume
38
Issue
4
Identifiers
DOI: 10.1016/j.chaos.2007.01.059
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract Based on a first-order nonlinear ordinary differential equation with a sixth-degree nonlinear term, a transformation method and its algorithm are proposed, which are powerful and simple. We choose the Konopelchenko–Dubrovsky equation to illustrate our method. Consequently, many new solutions are obtained. This approach can be also applied to solve other nonlinear differential equations.

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