分支方法在广义MKdV方程中的应用
Application of Bifurcation Method for Generalized MKdV Equation
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摘要: 应用动力系统分支方法研究广义MKdV方程ut+bu2ux-δuxxx=0的孤立波,且给出了该方程孤立波的显式解及其数目.Abstract: Bifurcation method of dynamical systems is applied to investigate solitary waves in generalized MKdV equation ut+bu2ux-δuxxx=0. Numbers of solitary waves are given under each parameter condition.Explicit solitary wave solutions are obtained.