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Travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms

Keywords: symbolic computation,projective Riccati equations method,generalized symmetric regularized long-wave equation,soliton
行波解
,一般对称规则长波方程,符号计算,周期解,数学物理方法

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Abstract:

Applying the general projective Riccati equations method, we consider the exact travelling wave solutions for generalized symmetric regularized long-wave equations with high-order nonlinear terms using symbolic computation. From our results, we not only can successfully recover some previously known travelling wave solutions found by using various tanh methods, but also can obtain some new formal solutions. The solutions obtained include kink-shaped solitons, bell-shaped solitons, singular solitons and periodic solutions.

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