Localized Coherent Soliton Structures in a Generalized (2+1)-Dimensional Nonlinear Schrödinger System-Reference-Cited by-同舟云学术

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

Published:2003-09-30 Issue:22n24 Volume:17 Page:4407-4414
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

Zheng Chun-Long¹²,Sheng Zheng-Mao¹

Affiliation:

1. Department of Physics, Zhejiang University, Hangzhou 310027, P. R. China

2. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, P. R. China

Abstract

A variable separation approach is used to obtain localized coherent structures in a generalized (2+1)-dimensional nonlinear Schrödinger system. Applying a special Bäcklund transformation and introducing arbitrary functions of the seed solutions, the abundance of the localized structures of this system are derived. By selecting the arbitrary functions appropriately, some special types of localized excitations such as dromions, dromion lattice, peakons, breathers and instantons are constructed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217979203022532

Reference10 articles.

1. Multidimensional localized solitons

2. On the Integrability Properties of a Perturbed Nonlinear Schrödinger Field Equation

3. Localized coherent structures and integrability in a generalized (2 + 1)-dimensional nonlinear Schrödinger equation

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