Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation
نویسندگان
چکیده
منابع مشابه
Integrable discretizations and self-adaptive moving mesh method for a coupled short pulse equation
In the present paper, integrable semi-discrete and fully discrete analogues of a coupled short pulse (CSP) equation are constructed. The key to the construction are the bilinear forms and determinant structure of the solutions of the CSP equation. We also construct N-soliton solutions for the semi-discrete and fully discrete analogues of the CSP equations in the form of Casorati determinants. I...
متن کاملA self-adaptive mesh method for the Camassa-Holm equation
A self-adaptive mesh method is proposed for the numerical simulations of the Camassa-Holm equation based on its integrable semi-discretization. It is an integrable scheme, possessing the N-soliton solution (see J. Phys. A, 41 355205). Moreover, it is called a self-adaptive mesh method, because the non-uniform mesh is driven and adapted automatically by the solution. Once the non-uniform mesh is...
متن کاملA modified homotopy perturbation method to periodic solution of a coupled integrable dispersionless equation
In this paper, a reliable approach is introduced to approximate periodic solutions of a system of coupled integrable dispersionless. The system is firstly, transformed into an ordinary differential equation by wave transformation. The solution of ODE is obtained by the homotopy perturbation method. To show the periodic behavior of the solution, a modification based on the Laplace transforms and...
متن کاملSe p 20 04 The short pulse equation is integrable
We prove that the Schäfer–Wayne short pulse equation (SPE) which describes the propagation of ultra-short optical pulses in nonlinear media is integrable. First, we discover a Lax pair of the SPE which turns out to be of the Wadati–Konno–Ichikawa type. Second, we construct a chain of transformations which relates the SPE with the sine-Gordon equation.
متن کاملa modified homotopy perturbation method to periodic solution of a coupled integrable dispersionless equation
in this paper, a reliable approach is introduced to approximate periodic solutions of a system of coupled integrable dispersionless. the system is firstly, transformed into an ordinary differential equation by wave transformation. the solution of ode is obtained by the homotopy perturbation method. to show the periodic behavior of the solution, a modification based on the laplace transforms and...
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 Physics A: Mathematical and Theoretical
سال: 2015
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/48/38/385202