Dynamical Structures of Multi-Solitons and Interaction of Solitons to the Higher-Order KdV-5 Equation

In this study, we build multi-wave solutions of the KdV-5 model through Hirota’s bilinear method. Taking complex conjugate values free parameters, various colliding exact in form rogue wave, symmetric bell soliton and waves form; breather waves, interaction a two wave are constructed. To explore characteristics localized any direction, higher-order model, which describes promulgation weakly nonlinear elongated narrow channel, ion-acoustic, acoustic emission harmonic crystals symmetrically is analyzed. With appropriate parameters that affect manage phase shifts, transmission routes, as well energies mixed solution relating to hyperbolic sinusoidal expression derived illustrated by figures. All single multi-soliton appeared about an axis propagation. The analyzed outcomes functional achieving understanding situations mentioned fields.