(2+1)-dimensional KdV, fifth-order KdV, and Gardner equations derived from the ideal fluid model. Soliton, cnoidal and superposition solutions

Anna Karczewska, P. Rozmej

2023Communications in Nonlinear Science and Numerical Simulation11 citationsDOI

Topics & Concepts

Korteweg–de Vries equationSuperposition principleMathematicsKadomtsev–Petviashvili equationCnoidal waveMathematical analysisSolitonMathematical physicsPerfect fluidPhysicsPartial differential equationNonlinear systemCharacteristic equationQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsOcean Waves and Remote Sensing