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- Title
Exploring localized waves and different dynamics of solitons in (2 + 1)-dimensional Hirota bilinear equation: a multivariate generalized exponential rational integral function approach.
- Authors
Niwas, Monika; Kumar, Sachin; Rajput, Rahi; Chadha, Dinsha
- Abstract
This study introduces the multivariate generalized exponential rational integral function (MGERIF) approach for solving the Hirota bilinear problem in 2 + 1 dimensions. Motivated by the generalized exponential rational function method, MGERIF method proves to be a powerful tool for finding solutions involving exponential, trigonometric, and hyperbolic functions. The solutions we found using MGERIF method have important applications in different scientific domains, including nonlinear optics, plasma physics, fluid dynamics, mathematical physics, and condensed matter physics. To illuminate the physical significance of the derived solutions, we employ three-dimensional (3D) and contour plots, exploring various parameter choices. This visualization approach enhances our understanding of the obtained solutions and facilitates a comprehensive discussion on their potential applications in real-world phenomena. By employing MGERIF method, we contribute to the advancement of methodologies for solving integrable systems, offering a valuable framework for exploring the rich landscape of nonlinear phenomena in various physical contexts.
- Subjects
INTEGRAL functions; CONDENSED matter physics; HYPERBOLIC functions; MATHEMATICAL physics; PLASMA physics
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 11, p9431
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-024-09555-2