Two Distinct Approaches for Analytical Solutions and Painlevé Integrability of the $$(3+1)$$-Dimensional Variable Coefficient KP Equation Describing Long Waves in Shallow Water
Shailendra Singh, S. Saha Ray
Topics & Concepts
Integrable systemVariable (mathematics)MathematicsWaves and shallow waterNonlinear systemKadomtsev–Petviashvili equationMathematical analysisTransformation (genetics)Wave equationWork (physics)Flow (mathematics)Wave modelField (mathematics)Range (aeronautics)Variable coefficientVector fieldKorteweg–de Vries equationPeriodic waveCnoidal waveDynamical systems theoryDispersionless equationShallow water equationsWave propagationPartial differential equationApplied mathematicsBreaking waveFluid dynamicsSeries (stratigraphy)Wave packetCharacteristic equationSimple (philosophy)Nonlinear Waves and SolitonsAdvanced Mathematical Physics ProblemsNonlinear Photonic Systems