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A New General Algebraic Method With Symbolic Computation To Construct New Traveling Solution For The(1 +1)-Dimensional Dispersive Long Wave Equation

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  • YONG CHEN

    (Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;
    Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China;
    M. M. Key Laboratory, Chinese Academy of Sciences, Beijing 100080, China)

Abstract

A new algebraic method, named Riccati equation rational expansion (RERE) method, is devised for constructing multiple traveling wave solutions for nonlinear evolution equations (NEEs). With the aid of symbolic computation, we choose(1 +1)-dimensional dispersive long wave equation (DLWE) to illustrate our method. As a result, we obtain many types of solutions including rational form solitary wave solutions, triangular periodic wave solutions and rational wave solutions.

Suggested Citation

  • Yong Chen, 2005. "A New General Algebraic Method With Symbolic Computation To Construct New Traveling Solution For The(1 +1)-Dimensional Dispersive Long Wave Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(07), pages 1107-1119.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:07:n:s0129183105007777
    DOI: 10.1142/S0129183105007777
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    Cited by:

    1. Sahadevan, R. & Prakash, P., 2017. "On Lie symmetry analysis and invariant subspace methods of coupled time fractional partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 107-120.
    2. Osman, M.S. & Wazwaz, Abdul-Majid, 2018. "An efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional KdV equation with variable coefficients," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 282-289.

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