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Homoclinic breather-wave solutions for Sine–Gordon equation

✍ Scribed by Zhengde Dai; Daquan Xian

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
429 KB
Volume
14
Category
Article
ISSN
1007-5704

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✦ Synopsis

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.

📜 SIMILAR VOLUMES

Homoclinic orbits for the perturbed sine
Homoclinic orbits for the perturbed sine-Gordon equation
✍ Jalal Shatah; Chongchun Zeng 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 99 KB 👁 2 views

In this work, we study the persistence of a homoclinic orbit of the sine-Gordon equation under diffusive and driven perturbations. An analytic perturbation method based on time-dependent scattering theory, together with Fredholm theory, is used to establish persistence. The estimates are given in sp