Abundant solitary and semi-analytical wave solutions of nonlinear shallow water wave regime model
Mostafa M. A. Khater, Jameel F. Alzaidi, Amina Kassim Hussain
Abstract
This article uses two separate approaches to find reliable and estimated solutions for the weakly nonlinear shallow-water wave model, which explains these waves are spreading in a thin and dispersive medium. Exact and estimated solutions are achieved by utilizing an expanded tanh expansion and Adomian decomposition (ADM.). We also evaluate and demonstrate how closely they are; all approaches are convincing and persuasive for partial differential equations.
Topics & Concepts
Adomian decomposition methodWaves and shallow waterNonlinear systemPartial differential equationMathematical analysisDecompositionDecomposition method (queueing theory)Hyperbolic partial differential equationMathematicsPhysicsApplied mathematicsThermodynamicsChemistryDiscrete mathematicsOrganic chemistryQuantum mechanicsNonlinear Waves and SolitonsOcean Waves and Remote SensingNonlinear Photonic Systems