scholarly journals Schrödinger Equation with a Cubic Nonlinearity Sech-Shaped Soliton Solutions

2012 ◽  
Vol 02 (03) ◽  
pp. 173-177 ◽  
Author(s):  
Pierre Hillion
Keyword(s):  
Soliton Solutions ◽  
Cubic Nonlinearity ◽  
Dinger Equation

An analytical method for soliton solutions of perturbed Schrödinger’s equation with quadratic-cubic nonlinearity

2019 ◽  
Vol 33 (03) ◽  
pp. 1950018 ◽  
Author(s):  
Behzad Ghanbari ◽  
Nauman Raza
Keyword(s):  
Traveling Wave ◽  
Function Method ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Cubic Nonlinearity ◽  
Nonlinear Media ◽  
Schrödinger’S Equation ◽  
Wave Solutions ◽  
First Time ◽  
Schrödinger's Equation

In this study, we acquire some new exact traveling wave solutions to the nonlinear Schrödinger’s equation in the presence of Hamiltonian perturbations. The compendious integration tool, generalized exponential rational function method (GERFM), is utilized in the presence of quadratic-cubic nonlinear media. The obtained results depict the efficiency of the proposed scheme and are being reported for the first time.

scholarly journals Soliton solutions for variable coefficient nonlinear Schr?dinger equation for optical fiber and their application

2006 ◽  
Vol 55 (8) ◽  
pp. 3805
Author(s):  
Zong Feng-De ◽  
Dai Chao-Qing ◽  
Yang Qin ◽  
Zhang Jie-Fang
Keyword(s):  
Optical Fiber ◽  
Variable Coefficient ◽  
Soliton Solutions ◽  
Dinger Equation

scholarly journals Analytical treatment in optical metamaterials with anti-cubic law of nonlinearity by IEFM and EShGEEM

2019 ◽  
Vol 65 (6 Nov-Dec) ◽  
pp. 658
Author(s):  
Jalil Manafian ◽  
Onur Alp Ilhan
Keyword(s):  
Graphical Representation ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Expansion Method ◽  
Cubic Nonlinearity ◽  
Analytical Treatment ◽  
Optical Metamaterials ◽  
Seeking Help ◽  
Photorefractive Polymer ◽  
Physical Phenomena

Here, the improved exp(−Ω())-expansion method (IEFM) and extended sinh-Gordon equation expansion method (EShGEEM)are being applied on (1+2)-dimensional nonlinear Schr¨odinger equation, optical metamaterials, with anti-cubic nonlinearity. Materialslike photovoltaic-photorefractive, polymer and organic consists of spatial solitons and optical nonlinearities, which can beidentified by seeking help from NLSE with anti-cubic nonlinearity. Abundant exact traveling wave solutions consisting of freeparameters are established in terms of bright, dark, singular, kink-singular, and combined dark-bright soliton solutions. Variousarbitrary constants obtained in the solutions help us to discuss the graphical behavior of solutions and also grants flexibilityto formulate solutions that can be linked with a large variety of physical phenomena. Moreover, graphical representation ofsolutions are shown vigorously in order to visualize the behavior of the solutions acquired for the equation.

scholarly journals Envelope solitons of nonlinear Schr dinger equation with an anti-cubic nonlinearity

2003 ◽  
Vol 36 (4) ◽  
pp. 1169-1173 ◽  
Author(s):  
R Fedele ◽  
H Schamel ◽  
V I Karpman ◽  
P K Shukla
Keyword(s):  
Cubic Nonlinearity ◽  
Dinger Equation ◽  
Envelope Solitons

On restricted N-soliton solutions of the nonlinear Schr�dinger equation

1987 ◽  
Vol 71 (1) ◽  
pp. 346-351 ◽  
Author(s):  
V. A. Vysloukh ◽  
I. V. Cherednik
Keyword(s):  
Soliton Solutions ◽  
Dinger Equation
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