Results 41 to 50 of about 6,812 (242)

Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations [PDF]

, 2009
We present Bäcklund transformations for the non-commutative anti-self-dual Yang–Mills equations where the gauge group is G = GL(2) and use it to generate a series of exact solutions from a simple seed solution.
Gilson, C.R., GILSON, CLAIRE R., HAMANAKA, MASASHI, Hamanaka, M., Nimmo, J.J.C., NIMMO, JONATHAN J. C.   +5 more
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Analytical solutions of the space–time fractional Kundu–Eckhaus equation by using modified extended direct algebraic method

Partial Differential Equations in Applied Mathematics
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been devised
Muhammad Bilal, Javed Iqbal, Kamal Shah, Bahaaeldin Abdalla, Thabet Abdeljawad, Ikram Ullah   +5 more
doaj   +1 more source

New Interaction Solutions of (3+1)-Dimensional KP and (2+1)-Dimensional Boussinesq Equations

Abstract and Applied Analysis, 2015
The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)-dimensional Kadomtsev-Petviashvili (KP) and (2+1)-dimensional Boussinesq equations.
Bo Ren, Jun Yu, Xi-Zhong Liu
doaj   +1 more source

Dynamics of bright and dark multi-soliton solutions for two higher-order Toda lattice equations for nonlinear waves

Advances in Difference Equations, 2018
Discrete N-fold Darboux transformation (DT) is used to derive new bright and dark multi-soliton solutions of two higher-order Toda lattice equations. Propagation and elastic interaction structures of such soliton solutions are shown graphically.
Nan Liu, Xiao-Yong Wen, Ling Xu
doaj   +1 more source

Colliding Solitons for the Nonlinear Schrödinger Equation [PDF]

Communications in Mathematical Physics, 2009
27 ...
Abou Salem, W. K., Fröhlich, J., Sigal, I. M.   +2 more
openaire   +2 more sources

Solitons of Wave Equation

Journal of Nonlinear Mathematical Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Five lectures on Soliton equations [PDF]

Surveys in Differential Geometry, 1998
42 pages, Latex2e; Contribution to Surveys in Differential Geometry, Vol.
openaire   +2 more sources

Fast Method for Estimating the Parameters of Partial Differential Equations from Inaccurate Observations

Mathematics, 2023
In this paper, the problems of estimating the parameters of partial differential equations from numerous observations in the vicinity of some reference points are considered.
Gurami Tsitsiashvili, Alexey Gudimenko, Marina Osipova   +2 more
doaj   +1 more source

Dispersive Properties of Schrödinger Equations [PDF]

, 2005
This thesis mainly concerns the dispersive properties of Schrodinger equations with certain potentials, and some of their consequences. First, we consider the charge transfer models in Rn with n > 2. In this case, the potential is a sum of several
Cai, Kaihua
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Yang-Baxter maps and the discrete KP hierarchy [PDF]

, 2009
We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with ...
Kakei, S., Willox, R., Nimmo, J.J.C.
core   +1 more source