Abstract

AbstractThis chapter concerns with the head-on collision between two-counter propagating solitons in a prestressed thin elastic tube filled with inviscid fluid and nonlocal operator. The new coupled beta time fractional modified Kortweg-de Vries equations (mKdVEs) are derived via the extended Poincaré–Lighthill–Kuo method and a variational approach. The outcomes are presented in graphical representation along with physical interpretations.KeywordsFluid-filled elastic tubeNew coupled evolution equationA variational approachBeta fractional derivativeSoliton

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