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Explicit and exact solutions for some typical systems of nonlinear equations. (Chinese. English summary) Zbl 1340.35298

Summary: By introducing a suitable trial function, the trial function method is extended to find several types of exact solutions to coupled Burgers equation, coupled KdV equation and modified coupled KdV equation. The results indicate that this approach is simple and efficient for solving system of nonlinear equations.

MSC:

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