Painlevé analysis for a new (3 +1 )-dimensional KP equation: Multiple-soliton and lump solutions
Abdul‐Majid Wazwaz, Naisa S. Alatawi, Wedad Albalawi, S. A. El-Tantawy
Abstract
Abstract The current work proposes a new (3 + 1)-dimensional Kadomtsev-Petviashvili (KP) equation ((3 + 1)-KPE). We verify the integrability of this equation using the Painlevé analysis (PA). The bilinear formula is applied to the extended KPE to explore multiple-soliton solutions. Also, we formally establish a class of lump solutions using distinct values of the parameters.
Topics & Concepts
Bilinear interpolationKadomtsev–Petviashvili equationBilinear formSolitonMathematicsClass (philosophy)Work (physics)Applied mathematicsCurrent (fluid)Mathematical analysisPure mathematicsMathematical physicsNonlinear systemPartial differential equationPhysicsComputer scienceBurgers' equationThermodynamicsStatisticsQuantum mechanicsArtificial intelligenceNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models