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Analytic study on the one and two spatial dimensional potential KdV equations

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  • Wazwaz, Abdul-Majid

Abstract

Analytic study is conducted on the (1+1) and (2+1) dimensional potential KdV equations. The work rests mainly on new ansatze that involve two hyperbolic functions. A set of new solitons, kinks, and periodic solutions is formally established.

Suggested Citation

  • Wazwaz, Abdul-Majid, 2008. "Analytic study on the one and two spatial dimensional potential KdV equations," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 175-181.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:1:p:175-181
    DOI: 10.1016/j.chaos.2006.06.018
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    References listed on IDEAS

    as
    1. Wazwaz, Abdul-Majid, 2003. "An analytic study of compactons structures in a class of nonlinear dispersive equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(1), pages 35-44.
    2. Wazwaz, Abdul-Majid & Taha, Thiab, 2003. "Compact and noncompact structures in a class of nonlinearly dispersive equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 62(1), pages 171-189.
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