Interacting Wave Phenomena Described by Coupled Beta Time Fractional mKdV Equation in Fluid-Filled Elastic Tube

This chapter concerns with the head-on collisionHead-on collision between two-counter propagating solitonsSolitons in a prestressed thin elastic tube filledElastic tube filled with inviscid fluid and nonlocal operatorNonlocal operator. The new coupled beta time fractional modified Kortweg-de Vries equations (mKdVEs) are derived via the extended Poincaré–Lighthill–Kuo methodExtended Poincaré–Lighthill–Kuo method The and a variational approachA variational approach. The outcomes are presented in graphical representation along with physical interpretations.