Symmetries, travelling-wave and self-similar solutions of two-component BKP hierarchy
Year: 2024
Type: article
Abstract: We investigate the two-component BKP hierarchy equation for its Lie point symmetries. To obtain a complete classification of the group-invariant solution, we derive the one-dimensional optimal system of subalgebras of A 3 , 3 ( D ⨂ s T 2 ) . By employing those subalgebras, we construct the invariant solutions which are represented through Weierstrass elliptic functions, Jacobi elliptic functions, and soliton solutions. Also, we analyse the existence of a bounded travelling-wave solution for the equation. Moreover, through the utilization of scale-invariant symmetry, we derive a self-similar solution. Additionally, by conducting singularity analysis, the solution can be expressed in the form of a right Painlevè series.
Source: Alexandria Engineering Journal
Authors: J. Mohammed Zubair Ahamed, R. Sinuvasan
Institution: VIT-AP University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,300
OpenAlex ID: W4403935066