Results 21 to 30 of about 1,098 (97)

Multi-soliton Solutions of Two-dimensional Matrix Davey-Stewartson Equation [PDF]

, 1996
The explicit formulae for m-soliton solutions of (1+2)-dimensional matrix Davey-Stewartson equation are represented. They are found by means of known general solution of the matrix Toda chain with the fixed ends [1].
A.N. Leznov, Boiti, Bonora, Davey, E.A. Yuzbashyan, Fairlie, Gelfand, Gelfand, Leznov, Leznov, Leznov, Leznov, Leznov, Leznov, Leznov, Leznov   +15 more
core   +3 more sources

Multi-solitons for nonlinear Klein–Gordon equations

Forum of Mathematics, Sigma, 2014
In this paper, we consider the existence of multi-soliton structures for the nonlinear Klein–Gordon (NLKG) equation in $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\
RAPHAËL CÔTE, CLAUDIO MUÑOZ
doaj   +1 more source

Supersymmetric formulation of the minimal surface equation: algebraic aspects [PDF]

, 2017
In this paper, a supersymmetric extension of the minimal surface equation is formulated. Based on this formulation, a Lie superalgebra of infinitesimal symmetries of this equation is determined.
A. Grundland, A. Hariton
semanticscholar   +1 more source

Restricted Flows and the Soliton Equation with Self-Consistent Sources [PDF]

, 2006
The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Backlund transformation for the restricted flows (by V.B. Kuznetsov et al.
Lin, Runliang, Yao, Haishen, Zeng, Yunbo
core   +4 more sources

Semi–analytical and numerical simulations of the modified Benjamin–Bona–Mahony model

Journal of Ocean Engineering and Science, 2022
In this article, semi-analytical and numerical simulations of the well-known modified Benjamin–Bona–Mahony (mBBM) equation are processed. This study targets to check the accuracy of the obtained analytical solutions of the mBBM model that have been ...
Mostafa M.A. Khater, Samir A. Salama
doaj  

On Classification of Integrable Davey-Stewartson Type Equations [PDF]

, 2013
This paper is devoted to the classification of integrable Davey-Stewartson type equations. A list of potentially deformable dispersionless systems is obtained through the requirement that such systems must be generated by a polynomial dispersionless Lax ...
Huard, Benoit, Novikov, Vladimir
core   +2 more sources

Novel computational and accurate numerical solutions of the modified Benjamin–Bona–Mahony (BBM) equation arising in the optical illusions field

Alexandria Engineering Journal, 2021
This research is based on three main pillars which are studying the computational solutions of the modified Benjamin–Bona–Mahony (BBM) equation via the modified Khater method then investigating the stability property of the obtained solutions through the
Mostafa M.A. Khater, Taher A. Nofal, Hanaa Abu-Zinadah, Mansour S.M. Lotayif, Dianchen Lu   +4 more
doaj  

Solitons of the (2+2)-dimensional Toda lattice [PDF]

Journal of Physics A, 52 (2019) 045202, 2018
We use the generalized Cauchy matrix approach to derive the N-soliton solutions for the (2+2)-dimensional Toda lattice.
arxiv   +1 more source

Generalized KdV Equation for Fluid Dynamics and Quantum Algebras

, 1996
We generalize the non-linear one-dimensional equation of a fluid layer for any depth and length as an infinite order differential equation for the steady waves.
A. A. Mohammad, A. C. Scott, A. J. Macfarlane, A. Ludu, A. Ludu, A. Ludu, A. Marshakov, C. Rebbi, D. J. Korteweg, G. B. Witham, G. L. Lamb, L. Branges de, L. Landau, M. Jimbo, R. A. Ionescu, R. M. Miura, S. Novikov, S. V. Vladimirov, V. Petviashvili, W. Greiner   +19 more
core   +1 more source

The local well-posedness of solutions for a nonlinear pseudo-parabolic equation

Boundary Value Problems, 2014
The local existence and uniqueness of solutions for a nonlinear pseudo-parabolic equation are established in the Sobolev space C([0,T);Hs(Rn))∩C1([0,T);Hs−1(Rn)) with s>n2.
S. Lai, Haibo Yan, Yang Wang
semanticscholar   +2 more sources