Results 1 to 10 of about 1,095 (94)
New Soliton Applications in Earth's Magnetotail Plasma at Critical Densities
Frontiers in Physics, 2020 New plasma wave solutions of the modified Kadomtsev Petviashvili (MKP) equation are presented. These solutions are written in terms of some elementary functions, including trigonometric, rational, hyperbolic, periodic, and explosive functions.
Hesham G. Abdelwahed +6 more
doaj +2 more sources
Geom. Topol. 1 (1997) 9-20, 1997 Using the `Riemann Problem with zeros' method, Ward has constructed exact solutions to a (2+1)-dimensional integrable Chiral Model, which exhibit solitons with nontrivial scattering. We give a correspondence between what we conjecture to be all pure soliton solutions and certain holomorphic vector bundles on a compact surface.
Anand, Christopher Anand, Hitchin, Ward
arxiv +3 more sources
Novel soliton solutions for the fractional three-wave resonant interaction equations
Demonstratio Mathematica, 2022 In this article, we obtained new infinite sets of exact soliton solutions for the nonlinear evolution system of three-wave resonant interaction equations.
Alqaraleh Sahar M., Talafha Adeeb G.
doaj +1 more source
The influence of the noise on the exact solutions of a Kuramoto-Sivashinsky equation
Open Mathematics, 2022 In this article, we take into account the stochastic Kuramoto-Sivashinsky equation forced by multiplicative noise in the Itô sense. To obtain the exact stochastic solutions of the stochastic Kuramoto-Sivashinsky equation, we apply the G′G\frac{{G ...
Albosaily Sahar +4 more
doaj +1 more source
Demonstratio Mathematica, 2023 In this article, the stochastic fractional Davey-Stewartson equations (SFDSEs) that result from multiplicative Brownian motion in the Stratonovich sense are discussed.
Mohammed Wael W. +2 more
doaj +1 more source
, 2021 A four-component nonlinear Schrödinger equation associated with a 5×5 Lax pair is investigated. A spectral problem is analysed and the Jost functions are used in order to derive a Riemann-Hilbert problem connected with the equation under consideration. N
Xinan Zhou
semanticscholar +1 more source
Lump and Interaction Solutions of Linear PDEs in (3 + 1)-Dimensions
East Asian Journal on Applied Mathematics, 2019 Linear partial differential equations in (3 + 1)-dimensions consisting of all mixed second-order derivatives are considered, and Maple symbolic computations are made to construct their lump and interaction solutions, including lump-periodic, lumpkink and
W. Ma
semanticscholar +1 more source
Fine Structure of Matrix Darboux-Toda Integrable Mapping [PDF]
, 1998 We show here that matrix Darboux-Toda transformation can be written as a product of a number of mappings. Each of these mappings is a symmetry of the matrix nonlinear Shrodinger system of integro-differential equations. We thus introduce a completely new
Leznov, A. N., Yuzbashyan, E. A.
core +3 more sources
Riemann-Hilbert Approach and N-Soliton Solutions For Three-Component Coupled Hirota Equations
East Asian Journal on Applied Mathematics, 2020 A Riemann-Hilbert problem is employed to study integrable three-component coupled Hirota (tcCH) equations. Thus, we investigate the spectral properties of tcCH equations with a 4× 4 Lax pair and derive a Riemann-Hilbert problem, the solution of which is ...
Xin Wu, Shou-Fu Tian, Jin-Jie Yang
semanticscholar +1 more source
East Asian Journal on Applied Mathematics, 2019 The (3 + 1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation is studied by using the Hirota bilinear method and the graphical representations of the solutions.
Ding Guo +3 more
semanticscholar +1 more source