Dispersive soliton solutions for shallow water wave system and modified Benjamin-Bona-Mahony equations via applications of mathematical methods
Asghar Ali, Aly R. Seadawy
Abstract
We have utilized three novel methods, called generalized direct algebraic, modified F-expansion and improved simple equation methods to construct traveling wave solutions of the system of shallow water wave equations and modified Benjamin-Bona-Mahony equation. After substituting particular values of the parameters, different solitary wave solutions are derived from the exact traveling wave solutions. It is shown that these employed methods are more powerful tools for nonlinear wave equations.
Topics & Concepts
Traveling waveAlgebraic equationNonlinear systemSolitonWaves and shallow waterMathematical analysisMathematicsSimple (philosophy)Algebraic numberWave equationPhysicsThermodynamicsQuantum mechanicsPhilosophyEpistemologyNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems