Exact solutions of (2 + 1)‐dimensional Schrödinger's hyperbolic equation using different techniques

Abstract In this paper, we derive new optical soliton solutions to (2 + 1)‐dimensional Schrödinger's hyperbolic equation using extended direct algebraic method and new extended hyperbolic function method. New acquired solutions have the form of bright, dark, combined dark‐bright, singular, and...

Full description

Saved in:
Bibliographic Details
Published in:Numerical methods for partial differential equations 2023-11, Vol.39 (6), p.4575-4594
Main Authors: Rehman, Hamood Ur, Imran, Muhammad Asjad, Ullah, Naeem, Akgül, Ali
Format: Article
Language:English
Subjects:
Exact solutions
Hyperbolic functions
Nonlinear evolution equations
Solitary waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Abstract In this paper, we derive new optical soliton solutions to (2 + 1)‐dimensional Schrödinger's hyperbolic equation using extended direct algebraic method and new extended hyperbolic function method. New acquired solutions have the form of bright, dark, combined dark‐bright, singular, and combined bright‐singular solitons solutions. These solutions reveal that our techniques are straightforward and dynamic. The solutions are also demonstrated through 3‐d and 2‐d plots to make clear the physical structures for such kind of model. The obtained results illustrate the power of the present method to determine soliton solution of nonlinear evolution equations.
ISSN:0749-159X
1098-2426
DOI:10.1002/num.22644