Results 61 to 70 of about 49,111 (193)

The Fractional Soliton Solutions for the Three-Component Fractional Nonlinear Schrödinger Equation Under the Zero Background

Fractal and Fractional
Fractional differential equations have emerged as a prominent focus of modern scientific research due to their advantages in describing the complexity and nonlinear behavior of many physical phenomena.
Xiaoqian Huang, Yifan Bai, Huanhe Dong, Yong Zhang   +3 more
doaj   +1 more source

The dynamical study of fractional complex coupled maccari system in nonlinear optics via two analytical approaches

Results in Physics, 2023
In this work, the modified auxiliary equation method (MAEM) and the Riccati–Bernoulli sub-ODE method (RBM) are used to investigate the soliton solutions of the fractional complex coupled maccari system (FCCMS).
Haiqa Ehsan, Muhammad Abbas, Magda Abd El-Rahman, Mohamed R. Ali, A.S. Hendy   +4 more
doaj   +1 more source

A simple and direct method for generating travelling wave solutions for nonlinear equations

, 2007
We propose a simple and direct method for generating travelling wave solutions for nonlinear integrable equations. We illustrate how nontrivial solutions for the KdV, the mKdV and the Boussinesq equations can be obtained from simple solutions of linear ...
A. Silva, Ablowitz, Ablowitz, Ablowitz, Almeida, Ashok Das, Bazeia, Bazeia, Bazeia, Boussinesq, D. Bazeia, Das, Dickey, Drazin, Faddeev, Gardner, Hirota, Korteweg, L. Losano, Lax, Lax, Mathieu, Miura, Olver, Whitham, Zakharov, Zakharov, Zakharov   +27 more
core   +1 more source

Soliton cluster solutions of nonlinear Schrödinger equations with variable coefficients in Bessel lattice

Results in Physics
The goal of this article is to obtain soliton cluster solutions of (2 + 1)-dimensional nonlinear variable coefficient Schrödinger equations through computerized symbolic computation.
Shaofu Wang
doaj   +1 more source

Comments on whether nonlinear fractional partial differential equations have soliton solutions

Partial Differential Equations in Applied Mathematics, 2022
It is well known that many nonlinear integer-order partial differential equations (PDEs) have soliton solutions, this is an indisputable fact in the field of soliton theory.
Weiguo Rui
doaj   +1 more source

M\"obius Symmetry of Discrete Time Soliton Equations

, 2002
We have proposed, in our previous papers, a method to characterize integrable discrete soliton equations. In this paper we generalize the method further and obtain a $q$-difference Toda equation, from which we can derive various $q$-difference soliton ...
Hietarinta J., Hirota R., Hirota R., Hirota R., Jimbo M., Kupershmidt B., Narita Y., Ohta Y., Saito S., Tokihiro T.   +9 more
core   +1 more source

Nongauge bright soliton of the nonlinear Schrodinger (NLS) equation and a family of generalized NLS equations [PDF]

, 2016
We present an approach to the bright soliton solution of the NLS equation from the standpoint of introducing a constant potential term in the equation.
Gutierrez-Ruiz, D., Mancas, S. C., Reyes, M. A., Rosu, H. C.   +3 more
core   +3 more sources

The nonlinear Schroedinger equation: Solitons dynamics

Journal of Differential Equations, 2010
In this paper we investigate the dynamics of solitons occurring in the nonlinear Schroedinger equation when a parameter h->0. We prove that under suitable assumptions, the the soliton approximately follows the dynamics of a point particle, namely, the motion of its barycenter $q_h(t)$ satisfies the equation $ddot{q}_h(t)+\nabla V(q_h(t))=H_h(t ...
BENCI, VIERI, GHIMENTI, MARCO GIPO, MICHELETTI, ANNA MARIA   +2 more
openaire   +4 more sources

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

Secants of Abelian Varieties, Theta functions, and Soliton Equations

, 1996
This paper is a survey on relations between secant identities and soliton equations and applications of soliton equations to problems of algebraic geometry, i.e., the Riemann-Schottky problem and its analogues.
Taimanov, I. A.
core   +2 more sources