The solitary wave, rogue wave and periodic solutions for the \((3+1)\)-dimensional soliton equation
From MaRDI portal
Publication:1756065
DOI10.1007/s00033-018-1050-6zbMath1406.35088OpenAlexW2902908518MaRDI QIDQ1756065
Guo-Ping Ai, Meng-Xiang You, Li Zhou, Jian-guo Liu
Publication date: 11 January 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/s00033-018-1050-6
Periodic solutions to PDEs (35B10) Soliton equations (35Q51) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Soliton solutions (35C08) Partial difference equations (39A14) Polynomial solutions to PDEs (35C11)
Related Items (7)
Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X=Mo,Cu)) based on ternary alloys ⋮ Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation ⋮ Bilinear Bäcklund transformation, Lax pair and interactions of nonlinear waves for a generalized \((2 + 1)\)-dimensional nonlinear wave equation in nonlinear optics/fluid mechanics/plasma physics ⋮ A new approach to investigate the nonlinear dynamics in a \((3 + 1)\)-dimensional nonlinear evolution equation via Wronskian condition with a free function ⋮ Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients ⋮ Phase shift, oscillation and collision of the anti-dark solitons for the \((3+1)\)-dimensional coupled nonlinear Schrödinger equation in an optical fiber communication system ⋮ Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative
Cites Work
- Linear superposition principle applying to Hirota bilinear equations
- \(N\)-soliton solution and its Wronskian form of a \((3+1)\)-dimensional nonlinear evolution equation
- Dynamics of the breather waves, rogue waves and solitary waves in an extend Kadomtsev-Petviashvili equation
- Painlevé analysis for a new integrable equation combining the modified Calogero-Bogoyavlenskii-Schiff (MCBS) equation with its negative-order form
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- New \((3+1)\)-dimensional equations of Burgers type and Sharma-Tasso-Olver type: multiple-soliton solutions
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Rogue waves for a generalized nonlinear Schrödinger equation with distributed coefficients in a monomode optical fiber
- Riemann-Hilbert problems of a six-component fourth-order AKNS system and its soliton solutions
- Lump solutions to a \((2+1)\)-dimensional extended KP equation
- A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems
- Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source
- Lump and lump-soliton solutions to the \({(2+1)}\)-dimensional Ito equation
- Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation
- Abundant lumps and their interaction solutions of \((3+1)\)-dimensional linear PDEs
- Negative-order integrable modified KdV equations of higher orders
- General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis
- Mixed lump-soliton solutions of the \((3+1)\)-dimensional soliton equation
- New non-traveling wave solutions for the \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation
- Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium
- Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
- Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
- A two-mode modified KdV equation with multiple soliton solutions
- Solitons for a \((2+1)\)-dimensional Sawada-Kotera equation via the Wronskian technique
- A new integrable equation that combines the KdV equation with the negative-order KdV equation
- Rogue periodic waves of the modified KdV equation
- A Pair of Resonance Stripe Solitons and Lump Solutions to a Reduced (3+1)-Dimensional Nonlinear Evolution Equation
- Grammian Determinant Solution and Pfaffianization for a (3+1)-Dimensional Soliton Equation
This page was built for publication: The solitary wave, rogue wave and periodic solutions for the \((3+1)\)-dimensional soliton equation
