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Multiple Permanent‐wave Trains in Nonlinear Systems
Author(s) -
Yang Jianke
Publication year - 1998
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1111/1467-9590.00073
Subject(s) - nonlinear system , train , simple (philosophy) , mathematical analysis , mathematics , matching (statistics) , control theory (sociology) , physics , computer science , philosophy , statistics , cartography , control (management) , epistemology , quantum mechanics , artificial intelligence , geography
Multiple permanent‐wave trains in nonlinear systems are constructed by the asymptotic tail‐matching method. Under some general assumptions, simple criteria for the construction are presented. Applications to fourth‐order systems and coupled nonlinear Schrödinger equations are discussed.