Application of extended simplest equation method to the Whitham-Broer-Kaup-Like equations

Abstract

Abstract: By applying the extended simplest equation method, the new exact traveling wave solutions of the Whitham-Broer-Kaup-Like equations was successfully constructed. The exact traveling wave solutions with double arbitrary parameters, are expressed by the hyperbolic functions, the trigonometric functions and the rational functions respectively. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions. The obtained results illustrate that the extended simplest equation method is direct, reliable and effective and can be used to obtain more exact traveling wave solutions of other nonlinear evolution equations in mathematical physics.

Key words: nonlinear developing equation, extended simplest equation method, traveling wave solutions, Whitham-Broer-Kaup-Like equations

CLC Number:

O175. 29

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