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.


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