4.4 Article

New exact solutions to the combined KdV and mKdV equation

Journal

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Volume 42, Issue 4, Pages 863-868

Publisher

SPRINGER/PLENUM PUBLISHERS
DOI: 10.1023/A:1024475003055

Keywords

combined KdV and mKdV equation; modified mapping method; exact solution; elliptic equation

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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.

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