Results 21 to 30 of about 159 (52)
Non-commutative lattice modified Gel'fand-Dikii systems [PDF]
, 2013 We introduce integrable multicomponent non-commutative lattice systems, which can be considered as analogs of the modified Gel'fand-Dikii hierarchy. We present the corresponding systems of Lax pairs and we show directly multidimensional consistency of ...
Doliwa, Adam
core +1 more source
A Completeness Study on Certain $2\times2$ Lax Pairs Including Zero Terms [PDF]
, 2011 We expand the completeness study instigated in [J. Math. Phys. 50 (2009), 103516, 29 pages] which found all $2\times2$ Lax pairs with non-zero, separable terms in each entry of each Lax matrix, along with the most general nonlinear systems that can be ...
Hay, Mike C.
core +4 more sources
Non-Point Invertible Transformations and Integrability of Partial Difference Equations [PDF]
, 2014 This article is devoted to the partial difference quad-graph equations that can be represented in the form $\varphi (u(i+1,j),u(i+1,j+1))=\psi (u(i,j),u(i,j+1))$, where the map $(w,z) \rightarrow (\varphi(w,z),\psi(w,z))$ is injective. The transformation
Startsev, Sergey Ya.
core +2 more sources
Structure Preserving Discretizations of the Liouville Equation and their Numerical Tests [PDF]
, 2015 The main purpose of this article is to show how symmetry structures in partial differential equations can be preserved in a discrete world and reflected in difference schemes. Three different structure preserving discretizations of the Liouville equation
Levi, Decio +2 more
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HYPERBOLIC TYPE SOLUTIONS FOR THE COUPLE BOITI-LEON-PEMPINELLI SYSTEM [PDF]
, 2020 In this paper, the (1/G')-expansion method is used to solve the coupled Boiti-Leon-Pempinelli (CBLP) system. The proposed method was used to construct hyperbolic type solutions of the nonlinear evolution equations.
Ahmad, Hijaz, Durur, Hülya, Yokus, Asif
core +1 more source
Characteristics of Conservation Laws for Difference Equations [PDF]
, 2013 Each conservation law of a given partial differential equation is determined (up to equivalence) by a function known as the characteristic. This function is used to find conservation laws, to prove equivalence between conservation laws, and to prove the ...
A. Mikhailov +23 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we investigate multiplicity, existence, and nonexistence of periodic solutions to a fourth‐order partial difference equation via linking theorem and saddle point theorem. Our obtained results significantly generalize and improve some existing ones.
Dan Li, Yuhua Long, Ji Gao
wiley +1 more source
Note on the binomial partial difference equation [PDF]
, 2015 Some formulas for the "general solution" to the binomial partial difference equation $$c_{m,n}=c_{m-1,n}+c_{m-1,n-1},$$ are known in the literature. However, it seems that there is no such a formula on the most natural domain connected to the equation ...
Stevic, Stevo
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Veterinary Dermatology, Volume 35, Issue 6, Page 652-661, December 2024.Background – Mycophenolate is an immunomodulating agent successfully used for the treatment of moderate‐to‐severe atopic dermatitis (AD) in people. Mycophenolate is an effective steroid‐sparing treatment option for use in dogs with inflammatory skin diseases.
Michael Klotsman +5 more
wiley +1 more source
Diffraction on the Two-Dimensional Square Lattice [PDF]
, 2009 We solve the thin-slit diffraction problem for two-dimensional lattice waves. More precisely, for the discrete Helmholtz equation on the semi-infinite square lattice with data prescribed on the left boundary (the aperture), we use lattice Green's ...
Bhat, H. S., Osting, Braxton
core +2 more sources