Travelling waves in a singularly perturbed sine-Gordon equation
نویسندگان
چکیده
منابع مشابه
On soliton and other travelling-wave solutions of a perturbed sine-Gordon equation
We give an exhaustive, non-perturbative classification of exact travelling-wave solutions of a perturbed sine-Gordon equation (on the real line or on the circle) which is used to describe the Josephson effect in the theory of superconductors and other remarkable physical phenomena. The perturbation of the equation consists of a constant forcing term and a linear dissipative term. On the real li...
متن کاملSome explicit travelling-wave solutions of a perturbed sine-Gordon equation
We present in closed form some special travelling-wave solutions (on the real line or on the circle) of a perturbed sine-Gordon equation. The perturbation of the equation consists of a constant forcing term γ and a linear dissipative term, and the equation is used to describe the Josephson effect in the theory of superconductors and other remarkable physical phenomena. We determine all travelli...
متن کاملSoliton and other travelling-wave solutions for a perturbed sine-Gordon equation
We construct and study exact travelling-wave solutions of a perturbed sine-Gordon equation (on the real line or on the circle) which is used to describe the Josephson effect in the theory of superconductors and other remarkable physical phenomena. The perturbation of the equation consists of a constant forcing term and a linear dissipative term. On the real line stable solutions with bounded en...
متن کاملExistence of Travelling Waves in Discrete Sine-Gordon Rings
We prove existence results for travelling waves in discrete, damped, dc-driven sine-Gordon equations with periodic boundary conditions.
متن کاملTowards soliton solutions of a perturbed sine-Gordon equation
We give arguments for the existence of exact travelling-wave (in particular solitonic) solutions of a perturbed sine-Gordon equation on the real line or on the circle, and classify them. The perturbation of the equation consists of a constant forcing term and a linear dissipative term. Such solutions are allowed exactly by the energy balance of these terms, and can be observed experimentally e....
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2003
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(03)00050-2