Lump and hybrid solutions for a (3+1)-dimensional Boussinesq-type equation for the gravity waves over a water surface
DOI10.1016/J.CJPH.2023.03.023MaRDI QIDQ6498530
Dan-Yu Yang, Xiao-Tian Gao, Chunhui Feng, Bo Tian
Publication date: 7 May 2024
Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)
Hirota methodhybrid solutionslump solutionslong-wave limit method(3+1)-dimensional Boussinesq-type equationgravity waves over a water surfaceinteractions among/between the lumps and solitons/breathers
Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx)
Cites Work
- Unnamed Item
- A numerical study of an ill-posed Boussinesq equation arising in water and nonlinear lattices: Filtering and regularization techniques
- Water-wave studies on a (2+1)-dimensional generalized variable-coefficient Boiti-Leon-Pempinelli system
- Magnetooptic studies on a ferromagnetic material via an extended \((3+1)\)-dimensional variable-coefficient modified Kadomtsev-Petviashvili system
- Generalized Darboux transformation and solitons for the Ablowitz-Ladik equation in an electrical lattice
- Oceanic shallow-water symbolic computation on a \((2+1)\)-dimensional generalized dispersive long-wave system
- Symbolically computing the shallow water via a \((2+1)\)-dimensional generalized modified dispersive water-wave system: similarity reductions, scaling and hetero-Bäcklund transformations
- Darboux transformation, localized waves and conservation laws for an \(M\)-coupled variable-coefficient nonlinear Schrödinger system in an inhomogeneous optical fiber
- Auto-Bäcklund transformations, Lax pair, bilinear forms and bright solitons for an extended \((3+1)\)-dimensional nonlinear Schrödinger equation in an optical fiber
- Considering the shallow water of a wide channel or an open sea through a generalized \((2+1)\)-dimensional dispersive long-wave system
- A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar
- Bilinear auto-Bäcklund transformations and soliton solutions of a \((3+1)\)-dimensional generalized nonlinear evolution equation for the shallow water waves
- New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions
- Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation
- Shil'nikov chaos in the 4D Lorenz-Stenflo system modeling the time evolution of nonlinear acoustic-gravity waves in a rotating atmosphere
- On enhanced dissipation for the Boussinesq equations
- Lie group analysis for a higher-order Boussinesq-Burgers system
- Reflecting upon some electromagnetic waves in a ferromagnetic film via a variable-coefficient modified Kadomtsev-Petviashvili system
- Modified generalized Darboux transformation and solitons for a Lakshmanan-Porsezian-Daniel equation
- \(N\)-fold generalized Darboux transformation and soliton interactions for a three-wave resonant interaction system in a weakly nonlinear dispersive medium
- Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, \(N\)-fold Darboux transformation and explicit exact solutions
- Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan-Porsezian-Daniel equation
- Simulating turbulent mixing caused by local instability of internal gravity waves
- Nonlocal symmetry and interaction solutions for the new (3+1)-dimensional integrable Boussinesq equation
- Modulation instability analysis, optical solitons and other solutions to the (2+1)-dimensional hyperbolic nonlinear Schrodinger's equation
- New extended direct algebraic method for the Tzitzica type evolution equations arising in nonlinear optics
- Lump solutions to the BKP equation by symbolic computation
- A novel dynamic model and the oblique interaction for ocean internal solitary waves
- Bilinear form, soliton, breather, lump and hybrid solutions for a \((2+1)\)-dimensional Sawada-Kotera equation
- \(M\)-lump, high-order breather solutions and interaction dynamics of a generalized \((2 + 1)\)-dimensional nonlinear wave equation
- Nonlinear dynamics of inertial particles in the ocean: from drifters and floats to marine debris and \textit{Sargassum}
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