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Approximate solving method of shock for nonlinear disturbed coupled Schrödinger system

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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.

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Authors and Affiliations

  1. Department of Mathematics, Anhui Normal University, Wuhu, 241003, Anhui Province, P. R. China

    Jing-sun Yao  (姚静荪) & Jia-qi Mo  (莫嘉琪)

  2. Faculty of Science, Huzhou Teacher College, Huzhou, 313000, Zhejiang Province, P. R. China

    Cheng Ou-Yang  (欧阳成) & Jia-qi Mo  (莫嘉琪)

  3. Department of Mathematics and Computer Science, Fuqing Branch of Fujian Normal University, Fuqing, 350300, Fujian Province, P. R. China

    Li-hua Chen  (陈丽华)

Authors
  1. Jing-sun Yao  (姚静荪)
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  2. Cheng Ou-Yang  (欧阳成)
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  3. Li-hua Chen  (陈丽华)
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  4. Jia-qi Mo  (莫嘉琪)
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Corresponding author

Correspondence to Jing-sun Yao  (姚静荪).

Additional information

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)

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Yao, Js., Ou-Yang, C., Chen, Lh. et al. Approximate solving method of shock for nonlinear disturbed coupled Schrödinger system. Appl. Math. Mech.-Engl. Ed. 33, 1583–1594 (2012). https://doi.org/10.1007/s10483-012-1645-7

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  • DOI: https://doi.org/10.1007/s10483-012-1645-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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