Multiple rogue wave solutions of the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq equation
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Publication:2001922
DOI10.1007/s00033-019-1159-2zbMath1431.35134OpenAlexW2953439791MaRDI QIDQ2001922
Publication date: 11 July 2019
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-019-1159-2
Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)
Related Items (7)
The dynamical behavior of mixed type lump solutions on the \((3 + 1)\)-dimensional generalized Kadomtsev-Petviashvili-Boussinesq equation ⋮ Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves ⋮ Multiple-order rogue wave solutions to a (2+1)-dimensional Boussinesq type equation ⋮ Analysis on the \(M\)-rogue wave solutions of a generalized \((3+1)\)-dimensional KP equation ⋮ Higher-order rogue waves with controllable fission and asymmetry localized in a (3 + 1)-dimensional generalized Boussinesq equation ⋮ Multiple-order line rogue wave solutions of extended Kadomtsev-Petviashvili equation ⋮ Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients
Cites Work
- Rational solutions to a KdV-like equation
- The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation
- Physical mechanisms of the rogue wave phenomenon.
- A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems
- Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
- General high-order breathers and rogue waves in the \((3 + 1)\)-dimensional KP-Boussinesq equation
- Multiple lump solutions of the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama equation
- Lump waves, solitary waves and interaction phenomena to the \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equation
- Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
- Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries
- Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
- Solitons and rational solutions of nonlinear evolution equations
- The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction
- Rational solutions of the Boussinesq equation and applications to rogue waves
- Quantum torus symmetries of the CKP and multi-component CKP hierarchies
- Symmetries and Reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies
- Resonant multiple wave solutions, complexiton solutions and rogue waves of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
- Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates
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