The paper provides asymptotic descriptions of one-parameter shock wave families in spherical/cylindrical KdV-B equations, proves their stability via a conservation law, and derives applicable superposition rules including for discontinuous waves.
Superposition of shock waves of the generalized BBM equation
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Shock waves of spherical/cylindrical KdV-B: Asymptotic, stability, superposition
The paper provides asymptotic descriptions of one-parameter shock wave families in spherical/cylindrical KdV-B equations, proves their stability via a conservation law, and derives applicable superposition rules including for discontinuous waves.