4.7 Article

New travelling wave solutions to the Boussinesq and the Klein-Gordon equations

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DOI: 10.1016/j.cnsns.2006.08.005

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Boussinesq equation; Klein-Gordon equation; solitons; periodic solutions; extended tanh method

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In this work, many new travelling wave solutions are established for the Boussinesq and the Klein-Gordon equations. The extended tanh method, the rational hyperbolic functions method, and the rational exponential functions method are used to generate these new solutions. The new solutions are bell-shaped solitons, periodic, and complex solutions. The proposed approaches are also applicable to a large variety of nonlinear evolution equations. (C) 2006 Elsevier B.V. All rights reserved.

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