Discrete and Ultradiscrete Periodic Phase Soliton Equations
نویسندگان
چکیده
منابع مشابه
Discrete soliton equations and convergence acceleration algorithms
Some of the well-known convergence acceleration algorithms, when viewed as two-variable difference equations, are equivalent to discrete soliton equations. It is shown that the η−algorithm is nothing but the discrete KdV equation. In addition, one generalized version of the ρ−algorithm is considered to be integrable discretization of the cylindrical KdV equation. ‡ E-mail: [email protected]...
متن کاملUltradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations
Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon equation has already been proposed by previous studies, but the equation and the solutions obtained...
متن کاملMöbius Symmetry of Discrete Time Soliton Equations
We have proposed, in our previous papers[1, 2], a method to characterize integrable discrete soliton equations. In this paper we generalize the method further and obtain a q-difference Toda equation, from which we can derive various q-difference soliton equations by reductions.
متن کاملA Characterization of Discrete Time Soliton Equations
A discretization of independent variables of integrable nonlinear differential equations breakes their integrability in general. Therefore it is remarkable that there exist certain discrete analogue of integrable differential equations which preserve integrability[2][16]. Integrability of ODEs can be tested by studying whether exist singularities which depend on initial values, a method called ...
متن کاملNew periodic and soliton solutions of nonlinear evolution equations
In this paper, the tanh and sine–cosine methods are used to construct exact periodic and soliton solutions of nonlinear evolution equations arising in mathematical physics. Many new families of exact travelling wave solutions of the generalized Hirota–Satsuma coupled KdV system, generalized-Zakharov equations and (2 + 1)-dimensional Broer–Kaup– Kupershmidt system are successfully obtained. The ...
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 the Physical Society of Japan
سال: 2019
ISSN: 0031-9015,1347-4073
DOI: 10.7566/jpsj.88.034001