High-order breathers, lumps and hybrid solutions to the (2+1)-dimensional fifth-order KdV equation
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Publication:5208293
DOI10.1142/S0217979219502552zbMath1428.35459OpenAlexW2973631513MaRDI QIDQ5208293
Zhao Zhang, Xiangyu Yang, Biao Li, Wen-Tao Li
Publication date: 15 January 2020
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0217979219502552
Hirota bilinear formhybrid solutionsbreather solutionslump solutions\((2+1)\)-dimensional fifth-order KdV equation
KdV equations (Korteweg-de Vries equations) (35Q53) Other special methods applied to PDEs (35A25) Soliton solutions (35C08)
Related Items (5)
\(M\)-lump, high-order breather solutions and interaction dynamics of a generalized \((2 + 1)\)-dimensional nonlinear wave equation ⋮ The integrability of a \((2+1)\)-dimensional nonlinear wave equation: Painlevé property, multi-order breathers, multi-order lumps and hybrid solutions ⋮ Soliton molecules and mixed solutions of the (2+1)-dimensional bidirectional Sawada–Kotera equation ⋮ Soliton molecules and full symmetry groups to the KdV-Sawada-Kotera-Ramani equation ⋮ Soliton molecules and some novel types of hybrid solutions to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation
Cites Work
- Darboux and Bäcklund transformations of the bidirectional Sawada-Kotera equation
- Dynamics of the breathers, rogue waves and solitary waves in the \((2+1)\)-dimensional Ito equation
- The inverse scattering transform and soliton solutions of a combined modified Korteweg-de Vries equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Localized waves and interaction solutions to an extended \((3+1)\)-dimensional Jimbo-Miwa equation
- M-lump solutions to a \((3+1)\)-dimensional nonlinear evolution equation
- New interaction solutions for the \((3+1)\)-dimensional Jimbo-Miwa equation
- Integrability, soliton solutions and modulation instability analysis of a (2+1)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation
- Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation
- Lump solutions of a generalized Calogero-Bogoyavlenskii-Schiff equation
- Symmetry Reductions and Group-Invariant Solutions of (2 + 1)-Dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada Equation
- Multiple soliton solutions for (2 + 1)-dimensional Sawada-Kotera and Caudrey-Dodd-Gibbon equations
- Symmetries of the KdV equation and four hierarchies of the integrodifferential KdV equations
- Lump Solutions and Interaction Phenomenon for (2+1)-Dimensional Sawada–Kotera Equation
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