2015Shuxue de shijian yu renshiRequires access

Exact Travelling Wave Solutions of the(2+1)-dimensional Broer-Kaup-Kupershmidt Equations

Wang Xiao-mi

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Abstract

In this paper,we successfully construct the new exact travelling wave solutions of the(2+l)-dimensional Broer-Kaup-Kupershmidt equations by using the extended simplest equation method and with the aid of computer algebra system Mathematiea.The exact travelling 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 method can be also used to solve other NLEEs.

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What this paper is about

In this paper,we successfully construct the new exact travelling wave solutions of the(2+l)-dimensional Broer-Kaup-Kupershmidt equations by using the extended simplest equation method and with the aid of computer algebra system Mathematiea.The exact travelling 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 method can be also used to solve other NLEEs.

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Available abstract

In this paper,we successfully construct the new exact travelling wave solutions of the(2+l)-dimensional Broer-Kaup-Kupershmidt equations by using the extended simplest equation method and with the aid of computer algebra system Mathematiea.The exact travelling 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 method can be also used to solve other NLEEs.

Key concepts: Hyperbolic function, Traveling wave, Rational function, Trigonometric functions, Trigonometry, Mathematics, Mathematical analysis, Exact solutions in general relativity

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