Quantum mechanics

Phase (matter)

Exact solutions in general relativity

Phase velocity

Mathematical physics

Operating system

Soliton

Computer science

Classical mechanics

Physics

Nonlinear system

Mathematics

Periodic wave

Mathematical analysis

Traveling wave

Mode (computer interface)

A new two-mode version of the generalized Zakharov-Kuznetsov equation is derived using Korsunsky’s method. This dynamical model describes the propagation of two-wave solitons moving simultaneously in the same direction with mutual interaction that depends on an embedded phase-velocity parameter. Three different methods are used to obtain exact bell-shaped soliton solutions and singular soliton solutions to the proposed model. Two-dimensional and three-dimensional plots are also provided to illustrate the interaction dynamics of the obtained two-wave exact solutions upon increasing the phase-velocity parameter.

Construction of Solitary Two-Wave Solutions for a New Two-Mode Version of the Zakharov-Kuznetsov Equation