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Nonlinear interaction of traveling waves of nonintegrable equations. (English) Zbl 0973.35502

Summary: We present a new methodology for deriving physically important exact solutions of certain nonintegrable equations. These solutions describe the nonlinear interaction of traveling waves. Examples include multishock and multisoliton solutions.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35C05 Solutions to PDEs in closed form
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