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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

Author

Listed:
  • Abdullahi Rashid Adem
  • Mohammad Mirzazadeh
  • Qin Zhou
  • Kamyar Hosseini

Abstract

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

Suggested Citation

  • Abdullahi Rashid Adem & Mohammad Mirzazadeh & Qin Zhou & Kamyar Hosseini, 2019. "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, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:3175213
    DOI: 10.1155/2019/3175213
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    References listed on IDEAS

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    1. Du, Zhong & Tian, Bo & Chai, Han-Peng & Sun, Yan & Zhao, Xue-Hui, 2018. "Rogue waves for the coupled variable-coefficient fourth-order nonlinear Schrödinger equations in an inhomogeneous optical fiber," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 90-98.
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