Authors : Sharad Anirudh Jonnalagadda

Volume/Issue : Volume 11 - 2026, Issue 8 - August

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Google Scholar : https://tinyurl.com/4j5ub6mp

DOI : https://doi.org/10.38124/ijisrt/26aug902

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.

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Abstract : The generalizations are constructed systematically with each of the lower dimensional cases explored appropriately. The Hirota bilinear forms of the constructed generalized partial differential equations are then derived utilizing key bilinear form identities. Along with the bilinear form representations, one-soliton based dispersion relations and two-soliton interaction coefficients are derived systematically. Anisotropic generalizations of the CBS equation and the variable coefficient KP equation are also deliberated which collectively provide a unified framework applicable across numerous disciplines of nonlinear sciences.

Keywords : Korteweg-de Vries (KdV) equation, Kadomtsev-Petviashvili (KP) equation, Boussinesq equation, Hirota Bilinear Forms, Higher Order KdV, Higher Order KP, Higher Order Boussinesq equations, Dispersion Relations, Solitonic Solutions, Cole-Hopf Substitutions, Partial differential equations.

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