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New exact solutions to the combined KdV and mKdV equation. (English) Zbl 1027.35110

Summary: The modified mapping method is developed to obtain new exact solutions to the combined KdV and mKdV equation. The method is applicable to a large variety of nonlinear evolution equations, as long as odd- and even-order derivative terms do not coexist in the equation under consideration.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
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