A new integrable variable-coefficient \(2 + 1\)-dimensional long wave-short wave equation and the generalized dressing method
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Publication:1629289
DOI10.1155/2018/7286574zbMath1440.35302OpenAlexW2846325375MaRDI QIDQ1629289
Publication date: 11 December 2018
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2018/7286574
KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Solutions to PDEs in closed form (35C05)
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Cites Work
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- Application of Exp-function method to a KdV equation with variable coefficients
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- New variable separation excitations of \((2+1)\)-dimensional dispersive long-water wave system obtained by an extended mapping approach
- `Positon' and `Dromion' Solutions of the (2+1) Dimensional Long Wave-Short Wave Resonance Interaction Equations
- An inverse scattering scheme for the regularized long-wave equation
- A reformulation of the `dressing method' for the Sawada-Kotera equation
- Fractal Dromion, Fractal Lump, and Multiple Peakon Excitations in a New (2 + 1)-Dimensional Long Dispersive Wave System
- Periodic and localized solutions of the long wave–short wave resonance interaction equation
- The Generalized Version of Dressing Method with Applications to AKNS Equations
- Application of dressing method for long wave–short wave resonance interaction equation
- The generalized dressing method with applications to the integration of variable-coefficient Toda equations
- On the application of a generalized dressing method to the integration of variable-coefficient coupled Hirota equations
- The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
- Localized solutions with chaotic and fractal behaviours in a (2+1)-dimensional dispersive long-wave system
- Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces
- On the Application of a Generalized Version of the Dressing Method to the Integration of Variable Coefficient N-Coupled Nonlinear Schrödinger Equation
- Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
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