Consistency around a cube property of Hirota's discrete KdV equation and the lattice sine-Gordon equation
نویسندگان
چکیده
It has been unknown whether Hirota's discrete Korteweg-de Vries equation and the lattice sine-Gordon have consistency around a cube (CAC) property. In this paper, we show that they CAC Moreover, also can be extended to systems on 3-dimensional integer lattice.
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 کاملDiscrete singular convolution for the sine-Gordon equation
This paper explores the utility of a discrete singular convolution (DSC) algorithm for the integration of the sine-Gordon equation. The initial values are chosen close to a homoclinic manifold for which previous methods have encountered significant numerical difficulties such as numerically induced spatial and temporal chaos. A number of new initial values are considered, including a case where...
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 کاملQuantum lattice KdV equation
A quantum theory is developed for a difference-difference system which can serve as a toy-model of the quantum Korteveg-de-Vries equation. Introduction This Letter presents an example of a completely integrable ‘discrete-space-time quantum model’ whose Heisenberg equations of motion have the form φ (τ, n) φ (τ, n− 1) + λ φ (τ, n− 1) φ (τ − 1, n− 1) = λ φ (τ, n) φ (τ − 1, n) + φ (τ − 1, n) φ (τ ...
متن کاملHomoclinic Orbits in Near-Integrable Double Discrete sine-Gordon Equation
We establish the existence of homoclinic orbits for the near{integrable double discrete sine-Gordon (dDSG) equation under periodic boundary conditions. The hyperbolic structure and homoclinic orbits are constructed through the B acklund transformation and Lax pair. A geometric perturbation method based on Mel'nikov analysis is used to establish necessary criteria for the persistent of temporal...
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: Applied Numerical Mathematics
سال: 2023
ISSN: ['1873-5460', '0168-9274']
DOI: https://doi.org/10.1016/j.apnum.2023.05.018