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On general form of the tanh method and its application to nonlinear partial differential equations. (English) Zbl 1346.35037
Summary: The tanh method is used to compute travelling waves solutions of one-dimensional nonlinear wave and evolution equations. The technique is based on seeking travelling wave solutions in the form of a finite series in tanh. In this article, we introduce a new general form of tanh transformation and solve well-known nonlinear partial differential equations in which tanh method becomes weaker in the sense of obtaining general form of solutions.
MSC:
35C07 Traveling wave solutions
Software:
MACSYMA
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