Travelling wave solutions for the discrete sine-Gordon equation with nonlinear pair interaction
β Scribed by Carl-Friedrich Kreiner; Johannes Zimmer
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 850 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
In this paper, the (N + 1)-dimensional sine-cosine-Gordon equations are studied. The existence of solitary wave, kink and anti-kink wave, and periodic wave solutions are proved, by using the method of bifurcation theory of dynamical systems. All possible bounded exact explicit parametric representat
## Abstract The existence of travelling wave solutions for the heat equation β~__t__~ __u__ βΞ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (β__u__ /β__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin