Systematic exploration of solitary wave characteristics for the high-order dispersive extended nonlinear Schrödinger model

Wang, Chanyuan; Attia, Raghda A. M.; Alfalqi, Suleman H.; Alzaidi, Jameel F.; Khater, Mostafa M. A.

doi:10.1007/s11082-024-06817-6

Opt Quant Electron

2024

DOI: 10.1007/s11082-024-06817-6

|View full text |Cite

Systematic exploration of solitary wave characteristics for the high-order dispersive extended nonlinear Schrödinger model

Chanyuan Wang,

Raghda A. M. Attia,

Suleman H. Alfalqi

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

A rapid numerical method for nonlinear generalized time-fractional kawahara equations via domination polynomials of complete graph

Nirmala,

Kumbinarasaiah

2024

Phys. Scr.

View full text Add to dashboard Cite

The key objective of this study is to examine the nonlinear Time-fractional generalized Kawahara equation (N-TF-GKE), a significant nonlinear equation that appears in a variety of physical domains, including ion-acoustic waves in plasmas, shallow water waves, and nonlinear acoustics. This Equation exhibits complex dynamic properties, most notably the appearance of shock waves, solitary waves, and chaotic solutions. We use a graph theoretic polynomial approach to obtain numerical solutions of the N-TF-GKE. We present the dominance polynomials of complete graphs (DPC), a new class of graph polynomials, to develop an efficient operational integration matrix to approximate the N-TF-GKE. The N-TF-GKE transformed into a collection of nonlinear algebraic equations with the standard collocation points. We acquire the numerical solutions for the Domination polynomial using Newton's approach. We validate the efficiency and robustness of our domination polynomial collocation method (DCM) with a set of numerical experiments and comparative analyses.

show abstract

A rapid numerical method for nonlinear generalized time-fractional kawahara equations via domination polynomials of complete graph

Nirmala,

Kumbinarasaiah

2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Systematic exploration of solitary wave characteristics for the high-order dispersive extended nonlinear Schrödinger model

Cited by 1 publication

References 48 publications

A rapid numerical method for nonlinear generalized time-fractional kawahara equations via domination polynomials of complete graph

A rapid numerical method for nonlinear generalized time-fractional kawahara equations via domination polynomials of complete graph

Contact Info

Product

Resources

About