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Inventi Impact: Computational Mathematics

Articles

  • Inventi:ecm/29578/19
    Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition\nand the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme
    Research 2019 : October - December
    Abdullahi Rashid Adem, Mohammad Mirzazadeh, Qin Zhou, Kamyar Hosseini

    The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter\nwavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV)\nequation. For this goal, a capable method known as the multiple exp-function scheme (MEFS) is formally utilized to derive the\nmultiple soliton solutions of the models.The MEFS as a generalization of Hirotaâ??s perturbation method actually suggests a systematic\ntechnique to handle nonlinear evolution equations (NLEEs).

    How to Cite this Article
    Attribution/ CC Compliant Citation: Adem, Abdullahi Rashid, et al. \"Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme.\" Advances in Mathematical Physics 2019 (2019).\nhttps://doi.org/10.1155/2019/3175213 \nhttp://creativecommons.org/licenses/by/4.0/\n\nSome formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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