New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method
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Authors
Hu, Xuegang
Wu, Yong Hong
Ling, Li
Date
2013Type
Journal Article
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Hu, Xuegang and Wu, Yong Hong and Ling, Li. 2013. New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method. Journal of Basic and Applied Physics. 2 (2): pp. 68-77.
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Journal of Basic and Applied Physics
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Abstract
In this paper, a generalized mapping method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. Firstly, some new solutions of an auxiliary ordinary differential equation are introduced. They are then used to generate new exact solutions for the Boussinesq equation. The new solutions are then grouped into ten families and the properties of each family of solutions are demonstrated. We should also emphasize here that the developed method can also be applied to a large variety of nonlinear partial differential equations in physics and mechanics.
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