Homoclinic breather-wave solutions for Sine–Gordon equation

Homoclinic breather-wave solutions for Sine–Gordon equation

A new type of two-wave solution, homoclinic breather-wave solution, for (1+1)D Sine–Gordon (SG) equation is obtained using the extended homoclinic test method. Moreover, the mechanical feature of two-wave solution is investigated, and the dynamical behavior of solution is exhibited.

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Veröffentlicht in:Communications in nonlinear science & numerical simulation 2009-08, Vol.14 (8), p.3292-3295
Hauptverfasser: Dai, Zhengde, Xian, Daquan
Format: Artikel
Sprache:eng
Schlagworte:
Breather wave
Computer simulation
Dynamical behavior
Homoclinic test method
Homoclinic wave
Mathematical analysis
Mathematical models
Nonlinearity
Sine–Gordon equation
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Zusammenfassung:A new type of two-wave solution, homoclinic breather-wave solution, for (1+1)D Sine–Gordon (SG) equation is obtained using the extended homoclinic test method. Moreover, the mechanical feature of two-wave solution is investigated, and the dynamical behavior of solution is exhibited.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2009.01.013