Abundant coherent structures of the dispersive long-wave equation in \((2+1)\)-dimensional spaces.
DOI10.1016/S0960-0779(02)00077-2zbMath1037.35062MaRDI QIDQ1419087
Publication date: 14 January 2004
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
coherent structuresDavey-Stewartson equationdispersive long-wave equationNizhnik-Novikov-Veselov equationring solitons
PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (33)
Cites Work
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- Nonlinearization of the Lax system for AKNS hierarchy
- Group theoretical analysis of dispersive long wave equations in two space dimensions
- On the coherent structures of the Nizhnik-Novikov-Veselov equation
- Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. I. Systematic derivation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Method for Solving the Korteweg-deVries Equation
- Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
- Dromion-like structures in a (3+1)-dimensional KdV-type equation
- Formal variable separation approach for nonintegrable models
- On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
- Similarity solutions of dispersive long‐wave equations in two space dimensions
- Symmetries and algebras of the integrable dispersive long wave equations in (2+1)-dimensional spaces
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