NEW ENVELOPE SOLUTIONS FOR COMPLEX NONLINEARSCHRÖDINGER+EQUATION VIA SYMBOLIC COMPUTATION

Zhen-Ya Yan ()
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Zhen-Ya Yan: Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2, Canada

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 02, 225-235

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.

Keywords: Nonlinear Schrödinger equation; symbolic computation; Jacobian elliptic function; envelope doubly-periodic solution; envelope solitary wave solution; envelope singly-periodic solution (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004383

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