Integrable aspects and applications of a generalized inhomogeneous N-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation

2008 ◽  
Vol 372 (12) ◽  
pp. 1990-2001 ◽  
Author(s):  
Tao Xu ◽  
Juan Li ◽  
Hai-Qiang Zhang ◽  
Ya-Xing Zhang ◽  
Wei Hu ◽  
...  
Keyword(s):  
Symbolic Computation ◽  
Optical Fibers ◽  
Nonlinear Schrödinger ◽  
Nonlinear Schrödinger System ◽  
Schrödinger System

Soliton Solutions, Pairwise Collisions and Partially Coherent Interactions for A Generalized (1+1)-Dimensional Coupled Nonlinear Schrödinger System via Symbolic Computation

2008 ◽  
Vol 63 (10-11) ◽  
pp. 679-687
Author(s):  
Li-Li Li ◽  
Bo Tian ◽  
Hai-Qiang Zhang ◽  
Xing Lü ◽  
Wen-Jun Liu
Keyword(s):  
Symbolic Computation ◽  
Soliton Solutions ◽  
Nonlinear Interactions ◽  
Elastic Solids ◽  
Bilinear Method ◽  
Nonlinear Schrödinger ◽  
Partially Coherent ◽  
Nonlinear Schrödinger System ◽  
Potential Applications ◽  
Schrödinger System

With the aid of symbolic computation, we investigate a generalized (1+1)-dimensional coupled nonlinear Schrödinger system with mixed nonlinear interactions, which has potential applications in nonlinear optics and elastic solids. The exact analytical one-, two-, and three-soliton solutions are firstly obtained by employing the bilinear method under two constraints. Some main propagation and interaction properties of the solitons are discussed simultaneously.Moreover, some figures are plotted to graphically analyze the pairwise collisions and partially coherent interactions of three solitons.

Soliton collision in a general coupled nonlinear Schrödinger system via symbolic computation

2013 ◽  
Vol 219 (24) ◽  
pp. 11258-11264 ◽  
Author(s):  
Ming Wang ◽  
Wen-Rui Shan ◽  
Xing Lü ◽  
Yu-Shan Xue ◽  
Zhi-Qiang Lin ◽  
...  
Keyword(s):  
Symbolic Computation ◽  
Nonlinear Schrödinger ◽  
Soliton Collision ◽  
Nonlinear Schrödinger System ◽  
Schrödinger System
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