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New Envelope Solutions For Complex Nonlinearschrödinger+Equation Via Symbolic Computation

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  • ZHEN-YA YAN

    (Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada)

Abstract

With the aid of symbolic computation, an extended Jacobian elliptic function expansion method is further extended to the complex nonlinearSchrödinger+equation. As a result, 24 families of the envelope doubly-periodic solutions with Jacobian elliptic functions are obtained. When the modulusm → 1or zero, the corresponding six envelope solitary wave solutions and six envelope singly-periodic (trigonometric function) solutions are also found. This powerful method can also be applied to other equations, such as the nonlinear Schrödinger equation and Zakharov equation.

Suggested Citation

  • Zhen-Ya Yan, 2003. "New Envelope Solutions For Complex Nonlinearschrödinger+Equation Via Symbolic Computation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(02), pages 225-235.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:02:n:s0129183103004383
    DOI: 10.1142/S0129183103004383
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    1. Alven H.S. Lam, 2000. "Republic of China (Taiwan)," American Journal of Economics and Sociology, Wiley Blackwell, vol. 59(5), pages 327-336, November.
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