On the exact soliton solutions of fifth-order Korteweg-de Vries equation for surface gravity waves
Qin Yang, Haijun Zhang
Abstract
Based on the unified F-expansion method, we study fifth-order Korteweg-de Vries equations for surface gravity waves. We obtained classification of exact solutions that contain soliton, and elliptic function solutions. We also do some simulations to study the stability of the solitons.
Topics & Concepts
SolitonElliptic functionKorteweg–de Vries equationPhysicsMathematical physicsSurface gravityGravitational waveSurface (topology)Order (exchange)Cnoidal waveFunction (biology)Classical mechanicsMathematical analysisNonlinear systemMathematicsQuantum mechanicsGeometrySpectral lineBiologyEconomicsEvolutionary biologyFinanceNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Mathematical Physics Problems