N-soliton, Hth-order breather, hybrid and multi-pole solutions for a generalized variable-coefficient Gardner equation with an external force in a plasma or fluid

Liu, Hao-Dong; Tian, Bo; Chen, Yu-Qi; Cheng, Chong-Dong; Gao, Xiao-Tian

doi:10.1007/s11071-024-10397-1

Nonlinear Dyn

2024

DOI: 10.1007/s11071-024-10397-1

|View full text |Cite

N-soliton, Hth-order breather, hybrid and multi-pole solutions for a generalized variable-coefficient Gardner equation with an external force in a plasma or fluid

Hao-Dong Liu,

Bo Tian,

Yu-Qi Chen

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...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Damped variable-coefficient fifth-order modified Korteweg-de Vries equation in fluid mechanics: Solitons, breathers, multi-pole waves and interactions

Liu,

Tian,

Cheng

et al. 2024

Nonlinear Dyn

View full text Add to dashboard Cite

Damped variable-coefficient fifth-order modified Korteweg-de Vries equation in fluid mechanics: Solitons, breathers, multi-pole waves and interactions

Liu,

Tian,

Cheng

et al. 2024

Nonlinear Dyn

View full text Add to dashboard Cite

Superposition and Interaction Dynamics of Complexitons, Breathers, and Rogue Waves in a Landau–Ginzburg–Higgs Model for Drift Cyclotron Waves in Superconductors

Saber,

Suhail,

Alsulami

et al. 2024

Axioms

View full text Add to dashboard Cite

This article implements the Hirota bilinear (HB) transformation technique to the Landau–Ginzburg–Higgs (LGH) model to explore the nonlinear evolution behavior of the equation, which describes drift cyclotron waves in superconductivity. Utilizing the Cole–Hopf transform, the HB equation is derived, and symbolic manipulation combined with various auxiliary functions (AFs) are employed to uncover a diverse set of analytical solutions. The study reveals novel results, including multi-wave complexitons, breather waves, rogue waves, periodic lump solutions, and their interaction phenomena. Additionally, a range of traveling wave solutions, such as dark, bright, periodic waves, and kink soliton solutions, are developed using an efficient expansion technique. The nonlinear dynamics of these solutions are illustrated through 3D and contour maps, accompanied by detailed explanations of their physical characteristics.

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.

N-soliton, Hth-order breather, hybrid and multi-pole solutions for a generalized variable-coefficient Gardner equation with an external force in a plasma or fluid

Cited by 2 publications

References 50 publications

Damped variable-coefficient fifth-order modified Korteweg-de Vries equation in fluid mechanics: Solitons, breathers, multi-pole waves and interactions

Damped variable-coefficient fifth-order modified Korteweg-de Vries equation in fluid mechanics: Solitons, breathers, multi-pole waves and interactions

Superposition and Interaction Dynamics of Complexitons, Breathers, and Rogue Waves in a Landau–Ginzburg–Higgs Model for Drift Cyclotron Waves in Superconductors

Contact Info

Product

Resources

About