Results 51 to 60 of about 1,098 (97)
The Additional Symmetries for the BTL and CTL Hierarchies
, 2011 The Toda lattice (TL) hierarchy was first introduced by K.Ueno and K.Takasaki in \cite{uenotaksasai} to generalize the Toda lattice equations\cite{toda}. Along the work of E. Date, M. Jimbo, M. Kashiwara and T.
Date E. +5 more
core +1 more source
arXiv, 2002 We provide a brief review of some of the major research results arising from the method of the Inverse Scattering Transform.
arxiv
Alexandria Engineering Journal, 2020 In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation.
Choonkil Park +4 more
doaj
Stable manifolds for all monic supercritical NLS in one dimension [PDF]
arXiv, 2005 We show that all supercritical monic focusing NLS in one space dimension exhibit asymptotic stability of perturbed standing waves provided the perturbations are chosen on a small hypersuface in a suitable space.
arxiv
Efficient numerical scheme based on the method of lines for the shallow water equations
Journal of Ocean Engineering and Science, 2018 In this paper, a nonlinear shallow-water model of tsunami wave propagation at different points along a coastline of an ocean has been numerically simulated using method of lines.
Mohamed M. Mousa
doaj
On the classification of scalar evolutionary integrable equations in $2+1$ dimensions
, 2010 We consider evolutionary equations of the form $u_t=F(u, w)$ where $w=D_x^{-1}D_yu$ is the nonlocality, and the right hand side $F$ is polynomial in the derivatives of $u$ and $w$.
E. V. Ferapontov +3 more
core +1 more source
Spectral Theory and Nonlinear PDE: a Survey [PDF]
arXiv, 2005 This is a slightly modified version of the survey article. Minor changes to the text and the references have been made.
arxiv
On new types of integrable 4-wave interactions
, 2012 We start with a Riemann-Hilbert Problems (RHP) with canonical normalization whose sewing functions depends on two or more additional variables. Using Zakharov-Shabat theorem we are able to construct a family of ordinary differential operators for which ...
Gerdjikov, Vladimir S.
core +1 more source
Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation [PDF]
arXiv, 2011 We consider a Gross-Pitaevskii equation with a nonlocal interaction potential. We provide sufficient conditions on the potential such that there exists a range of speeds in which nontrivial traveling waves do not ...
arxiv
Soliton dynamics for the Schrodinger-Newton system [PDF]
arXiv, 2013 We investigate the soliton dynamics for the Schrodinger-Newton system by proving a suitable modulational stability estimates in the spirit of those obtained by Weinstein for local equations.
arxiv