Nonlinear constraints and soliton solutions of 1+2-dimensional three-wave equation
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Publication:4213011
DOI10.1063/1.532365zbMath0910.35111OpenAlexW1979683428MaRDI QIDQ4213011
Publication date: 7 October 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532365
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)
Related Items (8)
On the three-dimensional three-wave equation with self-consistent sources ⋮ Darboux transformation and multi-soliton solutions for some soliton equations ⋮ Darboux transformation and bidirectional soliton solutions of a new (2+1)-dimensional soliton equation ⋮ Binary symmetry constraints of N-wave interaction equations in 1+1 and 2+1 dimensions ⋮ Soliton solutions of the coupled dispersionless equation ⋮ DARBOUX TRANSFORMATION AND VARIOUS SOLUTIONS FOR A NONLINEAR EVOLUTION EQUATION IN (3 + 1)-DIMENSIONS ⋮ Forced (2 + 1)-dimensional discrete three-wave equation ⋮ Darboux transformation and multi-soliton solutions of local/nonlocal N-wave interactions
Cites Work
- On the interaction of solitons for a class of integrable systems in the spacetime \(\mathbb{R}^{n+1}\)
- A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
- Symmetries and hierarchies of equations for the \((2+1)\)-dimensional N- wave interaction
- The dressing method and nonlocal Riemann-Hilbert problems
- Multidimensional Inverse Scattering for First-Order Systems
- Inverse problem forN ×N hyperbolic systems on the plane and the N-wave interactions
- On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
- First and second order nonlinear evolution equations from an inverse spectral problem
- Soliton solutions for some equations in the (1 + 2)-dimensional hyperbolic su ( N ) AKNS system
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