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Article domain: Theoretical, Mathematical, and Computational Physics
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
Received May 29, 2023

   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.

Key words: Extended KdV equation; extended KP equation; lump solutions; multiple soliton solutions; Painlevé analysis.
Article no. 113: Download
Romanian Journal of Physics 68 (7-8), 113 (2023)

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