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The homogeneous balance method for solving nonlinear soliton equations. (Chinese. English summary) Zbl 1202.35187

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

MSC:

35Q51 Soliton equations
35C05 Solutions to PDEs in closed form
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