Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves
From MaRDI portal
Publication:1045810
DOI10.1016/j.amc.2009.07.039zbMath1181.35219OpenAlexW2168822164MaRDI QIDQ1045810
Ming-Zhen Wang, Xiao-Ling Gai, Xin Yu, Yi-Tian Gao, Xing Lü, Zhi-Yuan Sun, Lei Wang, De-Xin Meng
Publication date: 16 December 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.07.039
nonlinear waveDarboux transformationLax pairfluid dynamicssolitonic solutionvariable-coefficient variant Boussinesq system
PDEs in connection with fluid mechanics (35Q35) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items
Multi-solitonic solutions for the variable-coefficient variant Boussinesq model of the nonlinear water waves ⋮ Solitonic interactions and double-Wronskian-type solutions for a variable-coefficient variant Boussinesq model in the long gravity water waves ⋮ \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water ⋮ Elastic-inelastic-interaction coexistence and double Wronskian solutions for the Whitham-Broer-Kaup shallow-water-wave model
Cites Work
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- Exact solutions of a variant Boussinesq system
- Auto-Bäcklund transformation and similarity reductions to the variable coefficients variant Boussinesq system
- 1-soliton solution of the \(K(m,n)\) equation with generalized evolution
- 1-soliton solution of the equation with generalized evolution
- Solitary waves of Boussinesq equation in a power law media
- A unified model for the evolution of nonlinear water waves
- On the integrable variant of the Boussinesq system: Painlevé property, rational solutions, a related many-body system, and equivalence with the AKNS hierarchy
- Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
- Multisoliton solutions in terms of double Wronskian determinant for a generalized variable-coefficient nonlinear Schrödinger equation from plasma physics, arterial mechanics, fluid dynamics and optical communications
- Analytical study of the nonlinear Schrödinger equation with an arbitrary linear time-dependent potential in quasi-one-dimensional Bose-Einstein condensates
- Darboux transformations of classical Boussinesq system and its new solutions
- Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation
- Bäcklund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water
- Multi-solitary wave solutions for variant Boussinesq equations and Kupershmidt equations
- Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system
- New exact solutions for three nonlinear evolution equations
- New transformations and new approach to find exact solutions to nonlinear equations
- Soliton solutions and a Bäcklund transformation for a generalized nonlinear Schrödinger equation with variable coefficients from optical fiber communications
- Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation
- Global existence and asymptotic behaviour of solutions for the generalized Boussinesq equation
- Symbolic computation and new families of exact soliton-like solutions to the integrable Broer-Kaup (BK) equations in (2+1)-dimensional spaces
- A Higher-Order Water-Wave Equation and the Method for Solving It
- Darboux transformation and new solutions for the Whitham–Broer–Kaup equations
- Approximate equations for long water waves
- Finite-band solutions of the classical Boussinesq–Burgers equations
- Variational methods and applications to water waves
- Long waves on a beach
- Darboux transformations of classical Boussinesq system and its multi-soliton solutions
- Kawahara dynamics in dispersive media
