Abundant soliton structures of \((2+1)\)-dimensional NLS equation.

DOI10.1016/S0960-0779(02)00231-XzbMath1048.35110MaRDI QIDQ1419202

Yi-Xin Chen, Hang-yu Ruan

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationvariable separation methoddromion solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Exact solutions of the noncommutative and commutative nonlinear Schrödinger equation in 2 + 1 dimensions ⋮ The functional separation method based on the singular manifold method ⋮ On nonlinear population waves

Cites Work

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• Symmetry analysis and exact solutions of the 2+1 dimensional sine-Gordon system
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• 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
• Formal variable separation approach for nonintegrable models
• Infinitely many symmetries of the Davey-Stewartson equation
• Abundant solitary wave structures of the nonlinear coupled scalar field equations

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