Approximate Solving Method of Shock for Nonlinear Disturbed Coupled Schrödinger System

YAO Jing-sun; OUYANG Cheng; CHEN Li-hua; MO Jia-qi

doi:10.3879/j.issn.1000-0887.2012.12.009

Volume 33 Issue 12

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YAO Jing-sun, OUYANG Cheng, CHEN Li-hua, MO Jia-qi. Approximate Solving Method of Shock for Nonlinear Disturbed Coupled Schrödinger System[J]. Applied Mathematics and Mechanics, 2012, 33(12): 1477-1486. doi: 10.3879/j.issn.1000-0887.2012.12.009

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Approximate Solving Method of Shock for Nonlinear Disturbed Coupled Schrödinger System

doi: 10.3879/j.issn.1000-0887.2012.12.009

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

Received Date: 2011-10-13
Rev Recd Date: 2012-04-23
Publish Date: 2012-12-15

Abstract

Abstract

A class of the nonlinear disturbed coupled Schrödinger system was studied. Using the specific technique to relate the exact and approximate solutions, firstly, the corresponding typical coupled system was considered. The exact shock travelling solution was obtained by using the mapping method. Then the travelling asymptotic solutions of the disturbed coupled Schrdinger system was found by using an approximate method.
- Schrödinger system,
- solitary wave,
- asymptotic solution

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References(20)

References

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