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Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions

Author

Listed:
  • Na Xiong
  • Wen-Tao Li
  • Biao Li

Abstract

Through the method of - KP hierarchy, we propose a new ( )- dimensional weakly coupled B-KP equation. Based on the bilinear form, we obtain the lump and rational solutions to the dimensionally reduced cases by constructing a symmetric positive semidefinite matrix. Then, we do numerical analysis on the rational solutions and fit the trajectory equation of the crest. Furthermore, we verify the accuracy of the trajectory equation by numerical analysis. This method of solving the lump and rational solutions can also be applied to other nonlinear evolution equations.

Suggested Citation

  • Na Xiong & Wen-Tao Li & Biao Li, 2020. "Weakly Coupled B-Type Kadomtsev-Petviashvili Equation: Lump and Rational Solutions," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-8, September.
    • Handle: RePEc:hin:jnlamp:6185391
    DOI: 10.1155/2020/6185391
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    Cited by:

    1. Ma, Yu-Lan & Wazwaz, Abdul-Majid & Li, Bang-Qing, 2021. "A new (3+1)-dimensional Kadomtsev–Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 187(C), pages 505-519.

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