Multiple Exp-Function Solutions, Group Invariant Solutions and Conservation Laws of a Generalized (2+1)-dimensional Hirota-Satsuma-Ito Equation
T. J. Podile, Abdullahi Rashid Adem, S. O. Mbusi, Ben Muatjetjeja
Abstract
Multiple exp-function technique and group analysis is accomplished for a comprehensive (2+1)-dimensional Hirota-Satsuma-Ito equation that appears in many sectors of nonlinear science such as for example in fluid dynamics. Travelling wave solutions are computed and it is displayed that this underlying equation gives kink solutions. The invariant reductions and further closed-form solutions are processed. Conserved currents are developed and their physical ramifications are illustrated.
Topics & Concepts
Conservation lawInvariant (physics)Traveling waveGroup (periodic table)Nonlinear systemMathematicsMathematical physicsMathematical analysisPhysicsQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models