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The repeated homogeneous balance method and its applications to nonlinear partial differential equations. (English) Zbl 1082.35014

Summary: A new method, called the repeated homogeneous balance method, is proposed for seeking the traveling wave solutions of nonlinear partial differential equations. The Burgers-KdV equation is chosen to illustrate our method. It has been confirmed that more traveling wave solutions of nonlinear partial differential equations can be effectively obtained by using the repeated homogeneous balance method.

MSC:

35A25 Other special methods applied to PDEs
35Q53 KdV equations (Korteweg-de Vries equations)
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References:

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