Generalized dromion solutions of a new higher dimensional soliton equation

DOI10.1016/S1007-5704(01)90009-7zbMath0983.35136OpenAlexW2031592553MaRDI QIDQ5945194

Jie-Fang Zhang, Gongdi Xu

Publication date: 2001

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1007-5704(01)90009-7

zbMATH Keywords

bilinearized equationsdromion

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Cites Work

• Unnamed Item
• Generalized dromions in the \((2+1)\)-dimensional long dispersive wave and scalar nonlinear Schrödinger equations
• Localized coherent structures and integrability in a generalized \((2+1)\)-dimensional nonlinear Schrödinger equation
• Dromion-like structures in the \((2+1)\)-dimensional breaking soliton equation
• Exotic coherent structures in the (2+1) dimensional long dispersive wave equation
• A new class of induced localized coherent structures in the (2 + 1)-dimensional nonlinear Schrödinger equation
• Singularity analysis and localized coherent structures in (2+1)-dimensional generalized Korteweg–de Vries equations
• Higher-dimensional dromion structures: Jimbo–Miwa–Kadomtsev–Petviashvili system
• Generalized dromion solutions of the (2+1)-dimensional KdV equation
• Painlevé analysis of new higher-dimensional soliton equation
• Infinitely many Lax pairs and symmetry constraints of the KP equation
• Dromion-like structures in a (3+1)-dimensional KdV-type equation
• The Kadomtsev–Petviashvili equation as a source of integrable model equations

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