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

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

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...

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Veröffentlicht in:Numerical methods for partial differential equations 2023-11, Vol.39 (6), p.4575-4594
Hauptverfasser: Rehman, Hamood Ur, Imran, Muhammad Asjad, Ullah, Naeem, Akgül, Ali
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Exact solutions
Hyperbolic functions
Nonlinear evolution equations
Solitary waves
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creator Rehman, Hamood Ur
Imran, Muhammad Asjad
Ullah, Naeem
Akgül, Ali
description 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.
doi_str_mv 10.1002/num.22644
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subjects Exact solutions
Hyperbolic functions
Nonlinear evolution equations
Solitary waves
title Exact solutions of (2 + 1)‐dimensional Schrödinger's hyperbolic equation using different techniques
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