Results 111 to 120 of about 746,627 (265)

Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation. [PDF]

, 1994
Otared Kavian, Fred B. Weissler
openalex   +1 more source

Modified Method of Simplest Equation Applied to the Nonlinear Schrödinger Equation

, 2018
We consider an extension of the methodology of the modified method of simplest equation to the case of use of two simplest equations. The extended methodology is applied for obtaining exact solutions of model nonlinear partial differential equations for ...
N. Vitanov, Z. Dimitrova
semanticscholar   +1 more source

New sub-equation method to construct solitons and other solutions for perturbed nonlinear Schrödinger equation with Kerr law nonlinearity in optical fiber materials

Journal of Ocean Engineering and Science, 2019
In a previous work, Zayed and Al-Nowehy have applied the Riccati equation mapping method combined with the generalized extended (G′/G)-expansion method and found new exact solutions of the nonlinear KPP equation.
Elsayed M.E. Zayed, Abdul-Ghani Al-Nowehy, Reham M.A. Shohib   +2 more
doaj  

The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. [PDF]

Proc Lond Math Soc, 2023
Lee JM, Lenells J.
europepmc   +1 more source

Unveiling new exact solutions of the unstable nonlinear Schrödinger equation using the improved modified Sardar sub-equation method

Results in Physics
The improved modified Sardar sub-equation method is used in this study to look into the complex domain of the unstable nonlinear Schrödinger equation, which is a basic idea in quantum physics.
Muhammad Ishfaq Khan, Aamir Farooq, Kottakkaran Sooppy Nisar, Nehad Ali Shah   +3 more
doaj  

Strong instability of standing waves for nonlinear Schrödinger equations with double power nonlinearity [PDF]

SUT Journal of Mathematics, 51 (2015), 49-58, 2014
We prove strong instability (instability by blowup) of standing waves for some nonlinear Schr\"odinger equations with double power nonlinearity.
arxiv  

Matrix nonlinear Schrödinger equations and moment maps into loop algebras [PDF]

, 1992
J. Harnad, M. A. Wisse
openalex   +1 more source

Some solutions for a stochastic NLSE in the unstable and higher order dispersive environments

Results in Physics, 2022
The nonlinear Schrödinger equations (NLSEs) arise from a large variety of fields, such as quantum mechanics, optical fiber communication, plasma physics, superfluid and many others.
Hanan A. Alkhidhr, H.G. Abdelwahed, Mahmoud A.E. Abdelrahman, S. Alghanim   +3 more
doaj  

A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation. [PDF]

Entropy (Basel), 2022
He S, Liu Y, Li H.
europepmc   +1 more source

Formation of singularities in solutions of the nonlinear Schrödinger equation [PDF]

, 1991
Hayato Nawa
openalex   +1 more source