Approximate solving method of shock for nonlinear disturbed coupled Schrödinger system

doi:10.1007/s10483-012-1645-7

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (12): 1583-1594.doi: https://doi.org/10.1007/s10483-012-1645-7

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Approximate solving method of shock for nonlinear disturbed coupled Schrödinger system

Jing-sun YAO¹, Cheng OU-YANG², Li-hua CHEN³, Jia-qi MO^1,2

1. Department of Mathematics, Anhui Normal University, Wuhu 241003, Anhui Province, P. R. China;
2. Faculty of Science, Huzhou Teacher College, Huzhou 313000, Zhejiang Province, P. R. China;
3. Department of Mathematics and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing 350300, Fujian Province, P. R. China

Received:2011-10-12 Revised:2012-05-24 Online:2012-12-10 Published:2012-12-10
Supported by:
Project supported by the National Natural Science Foundation of China (No. 41175058), the “Strategic Priority Research Program-Climate Change: Carbon Budget and Relevant Issues” of the Chinese Academy of Sciences (No.XDA01020304), the Natural Science Foundation from the Education Bureau of Anhui Province of China (No.KJ2011A135), the Natural Science Foundation of Zhejiang Province of China (No.Y6110502), the Foundation of the Education Department of Fujian Province of China (No. JA10288), and the Natural Science Foundation of Jiangsu Province of China (No.BK2011042)

Abstract

Abstract: A class of nonlinear disturbed coupled Schrödinger systems is studied. The specific technique is used to relate the exact and approximate solutions. The corresponding typical coupled system is considered. An exact shock travelling solution is obtained by a mapping method. The travelling asymptotic solutions of the disturbed coupled Schrödinger system are then found with an approximate method.

Key words: generalized cell mapping, multiple-attractor coexisting system, parameter uncertainties

2010 MSC Number:

O175

Jing-sun YAO;Cheng OU-YANG;Li-hua CHEN;Jia-qi MO. Approximate solving method of shock for nonlinear disturbed coupled Schrödinger system. Applied Mathematics and Mechanics (English Edition), 2012, 33(12): 1583-1594.

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Approximate solving method of shock for nonlinear disturbed coupled Schrödinger system

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