Lump-soliton, lump-multisoliton and lump-periodic solutions of a generalized hyperelastic rod equation
Syed T. R. Rizvi, Aly R. Seadawy, Muhammad Younis, Kashif Ali, Hadiqa Iqbal
Abstract
In this paper, we will obtain lump-soliton solution for (1[Formula: see text]+[Formula: see text]1)-dimensional generalized hyperelastic rod equation, also known as generalized KdV equation by aid of Hirota bilinear method (HBM). We also obtain lump-multisoliton (which is an interaction of lump with one kink or two kink soliton) and lump-periodic solutions (which is formed by an interaction between lump and periodic waves). The dynamics of these solution are examined graphically by selecting significant parameters.
Topics & Concepts
SolitonHyperelastic materialBilinear formBilinear interpolationPhysicsClassical mechanicsMathematical analysisMathematical physicsMathematicsNonlinear systemQuantum mechanicsStatisticsNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems