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The Modified Coupled Hirota Equation: Riemann‐Hilbert Approach and N‐Soliton Solutions

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  • Siqi Xu

Abstract

The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann‐Hilbert approach. The N‐soliton solutions are given in a compact form as a ratio of (N + 1)×(N + 1) determinant and N × N determinant, and the dynamical behaviors of the single‐soliton solution are displayed graphically.

Suggested Citation

  • Siqi Xu, 2019. "The Modified Coupled Hirota Equation: Riemann‐Hilbert Approach and N‐Soliton Solutions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlaaa:v:2019:y:2019:i:1:n:8342876
    DOI: 10.1155/2019/8342876
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    References listed on IDEAS

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    1. Michelle Savescu & Stephen Johnson & Abdul H. Kara & Sihon H. Crutcher & Russell Kohl & Anjan Biswas, 2014. "Conservation laws for optical solitons with spatio-temporal dispersion," Journal of Electromagnetic Waves and Applications, Taylor & Francis Journals, vol. 28(2), pages 242-252, January.
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    Cited by:

    1. Guangping Li & Jalil Manafian & Mirmehdi Seyyedi & R. Sivaraman & Subhiya M. Zeynalli, 2022. "Periodic, Cross‐Kink, and Interaction between Stripe and Periodic Wave Solutions for Generalized Hietarinta Equation: Prospects for Applications in Environmental Engineering," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).

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