INVARIANT SUBSPACES AND GENERALIZED FUNCTIONAL SEPARABLE SOLUTIONS TO THE TWO-COMPONENT b-FAMILY SYSTEM

INVARIANT SUBSPACES AND GENERALIZED FUNCTIONAL SEPARABLE SOLUTIONS TO THE TWO-COMPONENT b-FAMILY SYSTEM

Invariant subspace method is exploited to obtain exact solutions of the two- component b-family system. It is shown that the two-component b-family system admits the generalized functional separable solutions. Furthermore, blow up and behavior of those exact solutions are also investigated.

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Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2016-05, Vol.36 (3), p.753-764
1. Verfasser: 闫璐 时振华 王昊 康静
Format: Artikel
Sprache:eng
Schlagworte:
35Q35
37K05
37K35
Camassa-Holm equation
Exact solutions
generalized conditional symmetry
generalized functional separable solution
invariant subspace
Invariants
Mathematical analysis
Subspace methods
Subspaces
two-component b-family system
不变子空间
分离变量
双组分
子空间方法
广义
泛函
精确解
系统
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Beschreibung
Zusammenfassung:Invariant subspace method is exploited to obtain exact solutions of the two- component b-family system. It is shown that the two-component b-family system admits the generalized functional separable solutions. Furthermore, blow up and behavior of those exact solutions are also investigated.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30037-6