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Conservation Laws and Analytic Soliton Solutions for Coupled Integrable Dispersionless Equations with Symbolic Computation |
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| Authors: | WANG Pan TIAN Bo LIU Wen-Jun QU Qi-Xing JIANG Yan |
| Affiliation: | .;1.School of Science, P.O. Box 122, Beijing University of Posts and Telecommunications, Beijing 100876, China;2.State Key Laboratory of Software Development Environment,; Beijing University of Aeronautics and Astronautics, Beijing 100191, China;3.Key Laboratory of Information Photonics and Optical Communications (BUPT), Ministry of Education, P.O. Box 128, Beijing University of Posts and Telecommunications, Beijing 100876, China |
| Abstract: | Under investigation in this paper are two coupled integrable dispersionless (CID) equations modeling the dynamics of the current-fed string within an external magnetic field. Through a set of the dependent variable transformations, the bilinear forms for the CID equations are derived. Based on the Hirota method and symbolic computation, the analytic N-soliton solutions are presented. Infinitely many conservation laws for the CID equations are given through the known spectral problem. Propagationcharacteristics and interaction behaviors of the solitons are analyzed graphically. |
| Keywords: | coupled integrable dispersionless equations conservation laws soliton solutions hirota method symbolic computation |
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