On general form of the Tanh method and its application to nonlinear partial differential equations

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10.3934naco.2016007.pdf

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2016-6

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Hamidoğlu, Ali

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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.

Subject Keywords

Tanh method, Nonlinear partial differential equations, Exact solutions, Nonlinear travelling waves

URI

https://hdl.handle.net/11511/52275

Journal

Numerical Algebra, Control and Optimization

DOI

https://doi.org/10.3934/naco.2016007

Collections

Department of Mathematics, Article

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Citation Formats

A. Hamidoğlu, “On general form of the Tanh method and its application to nonlinear partial differential equations,” Numerical Algebra, Control and Optimization, pp. 175–181, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52275.