Acquisition of optimal computational solitons for cubic–quartic nonlinear Schrödinger equation through improved Adomian decomposition method

Bodaqah, A. M.; Al Qarni, A. A.; Bakodah, H. O.; Alshaery, A. A.

doi:10.1007/s11082-024-06431-6

Opt Quant Electron

2024

DOI: 10.1007/s11082-024-06431-6

|View full text |Cite

Acquisition of optimal computational solitons for cubic–quartic nonlinear Schrödinger equation through improved Adomian decomposition method

A. M. Bodaqah,

A. A. Al Qarni,

H. O. Bakodah

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 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Numerical Validation of Certain Cubic–Quartic Optical Structures Associated with the Class of Nonlinear Schrödinger Equation

Almalki,

AlQarni,

Bakodah

et al. 2024

Symmetry

View full text Add to dashboard Cite

This study presents a comprehensive investigation of cubic–quartic solitons within birefringent optical fibers, focusing on the effects of the Kerr law on the refractive index. The researchers have derived soliton solutions analytically using the sine-Gordon function technique. To validate their analytical results, the study employs the improved Adomian decomposition method, a numerical technique known for its efficiency and accuracy in solving nonlinear problems. This method effectively approximates solutions while minimizing computational errors, allowing for reliable numerical simulations that corroborate the analytical findings. The insights gained from this research contribute to a deeper understanding of the symmetry properties involved in nonlinear wave propagation in optical fibers. The study highlights the significant role of nonlinearities in shaping the behavior of waves within these systems. The use of proposed method not only serves as a checking mechanism for the sine-Gordon solutions but also illustrates its potential applicability to other nonlinear systems exhibiting complex symmetry behaviors. This versatility could lead to new exploration fronts in nonlinear optics and photonics, expanding the toolkit available for researchers in these rapidly evolving fields.

show abstract

Numerical Validation of Certain Cubic–Quartic Optical Structures Associated with the Class of Nonlinear Schrödinger Equation

Almalki,

AlQarni,

Bakodah

et al. 2024

Symmetry

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.

Acquisition of optimal computational solitons for cubic–quartic nonlinear Schrödinger equation through improved Adomian decomposition method

Cited by 1 publication

References 39 publications

Numerical Validation of Certain Cubic–Quartic Optical Structures Associated with the Class of Nonlinear Schrödinger Equation

Numerical Validation of Certain Cubic–Quartic Optical Structures Associated with the Class of Nonlinear Schrödinger Equation

Contact Info

Product

Resources

About