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New travelling wave solutions for nonlinear stochastic evolution equations

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Abstract

The nonlinear stochastic evolution equations have a wide range of applications in physics, chemistry, biology, economics and finance from various points of view. In this paper, the \(\left({G^{\prime}}/{G}\right)\)-expansion method is implemented for obtaining new travelling wave solutions of the nonlinear (2 + 1)-dimensional stochastic Broer–Kaup equation and stochastic coupled Korteweg–de Vries (KdV) equation. The study highlights the significant features of the method employed and its capability of handling nonlinear stochastic problems.

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Authors and Affiliations

  1. College of Applied Science, Kyung Hee University, Yongin, 446-701, South Korea

    HYUNSOO KIM

  2. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea

    RATHINASAMY SAKTHIVEL

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  1. HYUNSOO KIM
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  2. RATHINASAMY SAKTHIVEL
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Correspondence to RATHINASAMY SAKTHIVEL.

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KIM, H., SAKTHIVEL, R. New travelling wave solutions for nonlinear stochastic evolution equations. Pramana - J Phys 80, 917–931 (2013). https://doi.org/10.1007/s12043-013-0531-6

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  • DOI: https://doi.org/10.1007/s12043-013-0531-6

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