A bi-Hamiltonian Integrable Two Component Generalization of the third-Order Burgers Equation
D. Talati, R. Turhan
TL;DR
This paper introduces a new two-component integrable system that extends the third-order Burgers equation, featuring a bi-Hamiltonian structure which indicates rich mathematical properties and potential applications.
Contribution
The paper presents a novel bi-Hamiltonian two-component system that generalizes the third-order Burgers equation, expanding the class of integrable models.
Findings
The system admits a bi-Hamiltonian structure.
It reduces to the scalar third-order Burgers equation.
The integrability of the system is established.
Abstract
We announce a new bi-Hamiltonian integrable two-component system admitting the scalar 3rd-order Burgers equation as a reduction.
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Taxonomy
TopicsNonlinear Waves and Solitons · Fractional Differential Equations Solutions · Nonlinear Photonic Systems