Derivation of Lump Solutions to Integrable (2+1)- and (3+1)-Dimensional Extended KdV and KP Equations
", Weaam Alhejaili, Abdul‐Majid Wazwaz, S. A. El-Tantawy
Abstract
"In this study, we investigate the lump solutions for both integrable (2+1)- and (3+1)-dimensional extended KdV and KP equations using symbolic computation with Maple and the Hirota bilinear (HB) form. For each integrable model, we create positive quadratic function solutions to the HB equation. Graphs of the derived lump solutions are displayed with the proper parameter values. "
Topics & Concepts
Integrable systemKorteweg–de Vries equationMapleQuadratic equationBilinear interpolationBilinear formMathematical physicsSymbolic computationApplied mathematicsPhysicsQuadratic functionPure mathematicsMathematicsMathematical analysisNonlinear systemQuantum mechanicsStatisticsBiologyBotanyGeometryNonlinear Waves and SolitonsNonlinear Photonic SystemsAlgebraic structures and combinatorial models