Results 31 to 40 of about 2,478 (193)

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

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

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

The new soliton solutions for long and short-wave interaction system

Journal of Ocean Engineering and Science, 2022
The goal of this paper is to discover modern soliton solutions to long and short-wave interaction system by procedures called extended rational sine-cosine and rational sinh-cosh methods.
Sayyed Masood Zekavatmand, Hadi Rezazadeh, Mustafa Inc, Javad Vahidi, Mohammad Bagher Ghaemi   +4 more
doaj   +1 more source

New optical soliton solutions to the coupled fractional Lakshmanan–Porsezian–Daniel equations with Kerr law of nonlinearity

Results in Physics, 2023
This article studies the optical soliton solutions of the coupled fractional Lakshmanan–Porsezian–Daniel equations with kerr’s law nonlinearity based on the complete discriminant system of cubic polynomials. By means of traveling wave transformation, the
Da Shi, Chunyan Liu, Zhao Li
doaj   +1 more source

Polarization Dynamics in Ferroelectrics: Insights Enabled by Machine Learning Molecular Dynamics

Advanced Science, EarlyView.
Machine learning molecular dynamics is presented as a route to capture polarization switching, domain wall kinetics, topological polar textures, and polar mechanical coupling beyond the limits of conventional atomistic methods. This Perspective surveys recent progress and identifies key methodological directions, including long‐range electrostatics ...
Dongyu Bai, Ri He, Junxian Liu, Liangzhi Kou   +3 more
wiley   +1 more source