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Information Journal Paper

Title

Exact and approximate solutions for a generalized form of the Schrö dinger nonlinear equation

Pages

  79-92

Abstract

 In this paper, we consider a generalized form of nonlinear Schrodinger with second-order spatiotemporal dispersion coefficients. The Generalized exponential rational function method (GERFM) have been used to obtain some novel exact optical solutions. Also, a new iterative method is successfully examined to numerical solution of the equation. Several numerical simulations are provided to show the behavior of the exact solution, and reveal the efficiently of the numerical results. It is apparent that both employed methods are simple but quite efficient for the extraction of solutions of the problem. Moreover, they are applicable for solving other nonlinear problems arising in mathematics, physics and other branches of engineering. All computations and numerical simulations are carried out with Mathematica.

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    • Cite

    APA: Copy

    Ghanbari, Behzad. (2022). Exact and approximate solutions for a generalized form of the Schrö dinger nonlinear equation. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 6(27 ), 79-92. SID. https://sid.ir/paper/954152/en

    Vancouver: Copy

    Ghanbari Behzad. Exact and approximate solutions for a generalized form of the Schrö dinger nonlinear equation. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2022;6(27 ):79-92. Available from: https://sid.ir/paper/954152/en

    IEEE: Copy

    Behzad Ghanbari, “Exact and approximate solutions for a generalized form of the Schrö dinger nonlinear equation,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 6, no. 27 , pp. 79–92, 2022, [Online]. Available: https://sid.ir/paper/954152/en

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