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THE HOMOGENEOUS BALANCE METHOD FOR SOLVING NONLINEAR SOLITON EQUATIONS

FAN EN-GUI ZHANG HONG-QING

THE HOMOGENEOUS BALANCE METHOD FOR SOLVING NONLINEAR SOLITON EQUATIONS

FAN EN-GUI, ZHANG HONG-QING
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  • Received Date:  09 June 1997
  • Published Online:  20 March 1998

THE HOMOGENEOUS BALANCE METHOD FOR SOLVING NONLINEAR SOLITON EQUATIONS

  • 1. 大连理工大学数学科学研究所,大连 116024

Abstract: The homogeneous balance method is very effective for finding exact solutions of nonlinear soliton equations.But only soliton-type solutions can be obtained.In this paper we improve some key steps in this method,then by using modified homogeneous balance method we are able to obtain some new families of exact solutions to nonliear soliton equations.Solitary wave solutions are merely a special case of one famility.

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