MMN-5028
Dynamics of traveling wave solutions and chaos for generalized KdV-Burgers equation
Minan Wang; Aimin Liu; Wenhua Liu;Abstract
This paper applies the qualitative theory of differential equations to explore the global structure of the generalized KdV-Burgers equation, including a complete description of the phase portrait at infinity and the amplitude estimation of the oscillating shock wave. And based on KCC theory, the deviation curvature tensor of the generalized KdV-Burgers equation is given. After determining the Jacobi stability at any point on the traveling wave solution, this paper applies the Melnikov method to further discuss the chaotic behavior when the dissipative term receiving periodic perturbations.
Vol. 27 (2026), No. 1, pp. 407-423