Localized Coherent Soliton Structures in a Generalized (2+1)-Dimensional Nonlinear Schrödinger System

DOI10.1142/S0217979203022532zbMath1073.81570OpenAlexW2072374402MaRDI QIDQ5312184

Chun-Long Zheng, Zhengmao Sheng

Publication date: 30 August 2005

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979203022532

zbMATH Keywords

coherent structureGeneralized nonlinear Schrödinger equationVariable separation approach

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (10)

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Cites Work

• Unnamed Item
• Multidimensional localized solitons.
• On the integrability properties of a perturbed nonlinear Schrödinger field equation
• Localized coherent structures and integrability in a generalized \((2+1)\)-dimensional nonlinear Schrödinger equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• On the simplest integrable equation in 2+1
• An integrable shallow water equation with peaked solitons

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