Numerical simulation for coupled nonlinear Schringer-Korteweg-de Vries and Maccari systems of equations
- Title
- Numerical simulation for coupled nonlinear Schringer-Korteweg-de Vries and Maccari systems of equations
- Creator
- Akinyemi L.; Veeresha P.; Ajibola S.O.
- Description
- The primary goal of this paper is to seek solutions to the coupled nonlinear partial differential equations (CNPDEs) by the use of q-homotopy analysis transform method (q-HATM). The CNPDEs considered are the coupled nonlinear Schringer-Korteweg-de Vries (CNLS-KdV) and the coupled nonlinear Maccari (CNLM) systems. As a basis for explaining the interactive wave propagation of electromagnetic waves in plasma physics, Langmuir waves and dust-acoustic waves, the CNLS-KdV model has emerged as a model for defining various types of wave phenomena in mathematical physics, and so forth. The CNLM model is a nonlinear system that explains the dynamics of isolated waves, restricted in a small part of space, in several fields like nonlinear optics, hydrodynamic and plasma physics. We construct the solutions (bright soliton) of these models through q-HATM and present the numerical simulation in form of plots and tables. The solutions obtained by the suggested approach are provided in a refined converging series. The outcomes confirm that the proposed solutions procedure is highly methodological, accurate and easy to study CNPDEs. 2021 World Scientific Publishing Company.
- Source
- Modern Physics Letters B, Vol-35, No. 20
- Date
- 2021-01-01
- Publisher
- World Scientific
- Subject
- coupled nonlinear Maccari system; Coupled nonlinear Schringer-Korteweg-de Vries system; Laplace transform; q -homotopy analysis method
- Coverage
- Akinyemi L., Department of Mathematics, Prairie View AandM University, Prairie View, United States; Veeresha P., Department of Mathematics, Christ Deemed to Be University, Bengaluru, 560029, India; Ajibola S.O., Department of Mathematics, University of Benin, Benin City, Nigeria
- Rights
- Restricted Access
- Relation
- ISSN: 2179849; CODEN: MPLBE
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Akinyemi L.; Veeresha P.; Ajibola S.O., “Numerical simulation for coupled nonlinear Schringer-Korteweg-de Vries and Maccari systems of equations,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 24, 2025, https://archives.christuniversity.in/items/show/15762.