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Shock waves of spherical/cylindrical KdV-B: Asymptotic, stability, superposition
Alexey Samokhin
Spherical and cylindrical KdV-B equations have few known exact solutions, yet these solutions are hard to be interpreted physically. But these equations do have a family of divergi…
Superposition of shock waves of the generalized BBM equation
Alexey Samokhin
The generalized BBM studied in this paper contains an additional dissipative term. Thus instead of solitons for the classic BBM there exists a lot of travelling shock wave solution…
On periodic boundary solutions for cylindrical and spherical KdV-Burgers equations
Alexey Samokhin
For the KdV-Burgers equations for cylindrical and spherical waves the development of a regular profile starting from an equilibrium under a periodic perturbation at the boundary is…
Soliton transmutations in KdV--Burgers layered media
Alexey Samokhin
We study the behavior of the soliton which, while moving in non-dissipative medium encounters a barrier with dissipation. The modelling included the case of a finite dissipative la…
Modelling Solutions to the Kdv-Burgers Equation in the Case of Non-homogeneous Dissipative Media
Alexey Samokhin
We study the behavior of the soliton which, while moving in non-dissipative medium encounters a barrier with finite dissipation. The modelling included the case of a finite dissipa…
On nonlinear superposition of shock waves for the KdV-Burgers equation
Alexey Samokhin
Superposition of explicit (analytic) monotone non-increasing shock waves for the KdV-Burgers equation is studied, modelled numerically and graphically presented. Initial profile ch…