Traveling wave solutions of the two-dimensional Calogero-Bogoyavlenskii-Schiff equation
DOI:
https://doi.org/10.26577/RCPh2025951Keywords:
sine-cosine method, ordinary differential equation, partial differential equation, nonlinearity, Calogero-Bogoyavlenskii-Schiff equation.Abstract
In this work, new traveling wave solutions of one of the nonlinear evolution equations the two-dimensional extended Calogero-Bogoyavlenskii-Schiff equation – are investigated. Nonlinear physical phenomena play a crucial role in science and its various applications, including optical fibers, astrophysics, and the physics of differential equations, enabling the modeling of such processes. The Calogero-Bogoyavlenskii-Schiff equation, originally formulated in a nonlocal form, is also studied as a system of differential equations. Such equations are important in various fields of science, such as plasma physics, hydrodynamics and quantum field theory. The use of nonlinear methods is especially effective in finding solutions that cannot be obtained by standard symmetry-based approaches. The results obtained in this paper can be used to model nonlinear dispersive waves and describe complex dynamical systems, contributing to a deeper understanding of the theory of two-dimensional equations. The paper presents sine and cosine solutions of the two-dimensional Calogero-Bogoyavlenskii-Schiff equation and visualizes them through software-generated plots. The results can be effectively applied in modeling nonlinear dispersive waves and complex dynamic systems. This work contributes to a deeper understanding of the dynamics of two-dimensional nonlinear systems.
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