The study of dromion interactions of (2+1)-dimensional integrable systems
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Publication:4701712
DOI10.1063/1.532790zbMath0939.37046OpenAlexW2034854926MaRDI QIDQ4701712
Publication date: 21 November 1999
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532790
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10)
Related Items (5)
Soliton interactions of integrable models ⋮ The soliton solutions, dromions of the Kadomtsev-Petviashvili and Jimbo-Miwa equations in (3 + 1)-dimensions ⋮ Dromion structures in the \((2+1)\)-dimensional nonlinear Schrödinger equation with a parity-time-symmetric potential ⋮ Dromion-like structures and stability analysis in the variable coefficients complex Ginzburg-Landau equation ⋮ Generalized dromions of the (2+1)-dimensional nonlinear Schrödinger equations
Cites Work
- Two-dimensional Schrödinger operator: inverse scattering transform and evolutional equations
- Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- Lie symmetries of Hirota’s bilinear equations
- Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
- Generalized dromion solutions of the (2+1)-dimensional KdV equation
- On the spectral transform of a Korteweg-de Vries equation in two spatial dimensions
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