论文信息 - Perturbation theory for the double sine-Gordon equation

Perturbation theory for the double sine-Gordon equation

Abstract This paper presents a perturbation theory for the double sine-Gordon equation. We obtain a system of differential equations that shows the soliton parameters modification under the influence of the perturbation. For the particular case λ = 0 the results transform into the well-known perturbation theory for the sine-Gordon equation.

Constantine A. Popov | C. Popov

[1] A. Bishop,et al. Soliton-breather reaction pathways. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2] P. Christiansen,et al. Perturbation theories for sine-Gordon soliton dynamics , 1983 .

[3] Yi Tang,et al. DIRECT APPROACH TO THE STUDY OF SOLITON PERTURBATIONS OF THE NONLINEAR SCHRODINGER EQUATION AND THE SINE-GORDON EQUATION , 1998 .

[4] R. Grimshaw,et al. Hysteresis phenomena in the interaction of a damped solitary wave with an external force , 1997 .

[5] James Shipman,et al. Wave Motion , 2006 .

[6] T. Lewis. Solitons in Action , 1979 .

[7] R. Bullough,et al. The double-sine-Gordon equation: wobbling solitons? , 1978 .

[8] Mark J. Ablowitz,et al. Solitary wave collisions , 1979 .

[9] F. N. David,et al. Tables of Integrals and Other Mathematical Data. , 1958 .

[10] Hyatt M. Gibbs,et al. Effects of Degeneracy on Self-Induced Transparency , 1974 .

[11] A. Barut. Nonlinear Equations in Physics and Mathematics , 1978 .

[12] Angel Sánchez,et al. Collective Coordinates and Length-Scale Competition in Spatially Inhomogeneous Soliton-Bearing Equations , 1998, SIAM Rev..