Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system

In this study, the nonlinear (2+1)-dimensional generalized breaking soliton system has been studied by introducing an appropriate travelling wave transformation. The model under consideration is integrable with constant coefficients and demonstrates Riemann wave propagation characteristics, it princ...

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Published inInternational journal of computer mathematics Vol. 100; no. 6; pp. 1340 - 1355
Main Authors Muhamad, Kalsum Abdulrahman, Tanriverdi, Tanfer, Mahmud, Adnan Ahmad, Baskonus, Haci Mehmet
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 03.06.2023
Taylor & Francis Ltd
Subjects
34-04
65-04
65-06
Dynamic characteristics
Exponential functions
Generalized breaking soliton system
Graphs
Hyperbolic functions
modified exponential function method
Nonlinear systems
Propagation
Riemann wave propagation
Riemann waves
Software
Solitary waves
soliton solutions
Traveling waves
travelling wave transformation
Wave propagation
Online AccessGet full text
ISSN0020-7160
1029-0265
DOI10.1080/00207160.2023.2186775

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Abstract In this study, the nonlinear (2+1)-dimensional generalized breaking soliton system has been studied by introducing an appropriate travelling wave transformation. The model under consideration is integrable with constant coefficients and demonstrates Riemann wave propagation characteristics, it principally transformed into a third-order nonlinear ODE. The reliable and robust method, namely the modified exponential function method, is applied to the nonlinear system for the first time. The main goal is to investigate and obtain some explicitly exact travelling waves, periodic waves, and soliton solutions. The obtained solutions are in the form of exponential functions, trigonometric hyperbolic functions, and combined structures of the trigonometric hyperbolic with logarithmic functions. Furthermore, the obtained solutions are new and significant in revealing the pertinent features of the physical phenomenon. The results have been expressed in several graphs, including two- and three-dimensional plots, for the best visual assessment of the physical significance and dynamic characteristics. The most potent and efficacious tools are the computer software packages we utilize to derive solutions and graphs.
AbstractList In this study, the nonlinear (2+1)-dimensional generalized breaking soliton system has been studied by introducing an appropriate travelling wave transformation. The model under consideration is integrable with constant coefficients and demonstrates Riemann wave propagation characteristics, it principally transformed into a third-order nonlinear ODE. The reliable and robust method, namely the modified exponential function method, is applied to the nonlinear system for the first time. The main goal is to investigate and obtain some explicitly exact travelling waves, periodic waves, and soliton solutions. The obtained solutions are in the form of exponential functions, trigonometric hyperbolic functions, and combined structures of the trigonometric hyperbolic with logarithmic functions. Furthermore, the obtained solutions are new and significant in revealing the pertinent features of the physical phenomenon. The results have been expressed in several graphs, including two- and three-dimensional plots, for the best visual assessment of the physical significance and dynamic characteristics. The most potent and efficacious tools are the computer software packages we utilize to derive solutions and graphs.
Author Tanriverdi, Tanfer
Muhamad, Kalsum Abdulrahman
Baskonus, Haci Mehmet
Mahmud, Adnan Ahmad
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  surname: Baskonus
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Snippet In this study, the nonlinear (2+1)-dimensional generalized breaking soliton system has been studied by introducing an appropriate travelling wave...
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SubjectTerms 34-04
65-04
65-06
Dynamic characteristics
Exponential functions
Generalized breaking soliton system
Graphs
Hyperbolic functions
modified exponential function method
Nonlinear systems
Propagation
Riemann wave propagation
Riemann waves
Software
Solitary waves
soliton solutions
Traveling waves
travelling wave transformation
Wave propagation
Title Interaction characteristics of the Riemann wave propagation in the (2+1)-dimensional generalized breaking soliton system
URI https://www.tandfonline.com/doi/abs/10.1080/00207160.2023.2186775
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