Space–time spectral method for the two-dimensional generalized sine-Gordon equation
نویسندگان
چکیده
منابع مشابه
Generalized solution of Sine-Gordon equation
In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution.
متن کاملgeneralized solution of sine-gordon equation
in this paper, we are interested to study the sine-gordon equation in generalized functions theory introduced by colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the colombeau algebra). then we study the association concept with the classical solution.
متن کاملApplication of the Modified Homotopy Perturbation Method to the Two Dimensional sine-Gordon Equation
In this paper, we apply the modified homotopy perturbation method based on the Taylor series for solving the initial value problems of the two dimensional sine-Gordon equation. Due to the proposed modification , the approximate solution obtained is in accordance with the exact solution greatly. Numerical examples are presented to show its efficiency.
متن کاملTwo-dimensional gravitation and sine-Gordon solitons.
Some aspects of two-dimensional gravity coupled to matter fields, especially to the Sine-Gordon-model are examined. General properties and boundary conditions of possible soliton-solutions are considered. Analytic soliton-solutions are discovered and the structure of the induced space-time geometry is discussed. These solutions have interesting features and may serve as a starting point for fur...
متن کاملHomoclinic Intersections and Mel'nikov Method for Perturbed sine -Gordon Equation
We describe and characterize rigorously the homoclinic structure of the perturbed sine{ Gordon equation under periodic boundary conditions. The existence of invariant manifolds for a perturbed sine{Gordon equation is established. Mel'nikov method, together with geometric analysis are used to assess the persistence of the homoclinic orbits under bounded and time-periodic perturbations.
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: Journal of Mathematical Analysis and Applications
سال: 2015
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.02.057