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Backlund transformation of Kaup Kupershmidt equations with mutli soliton solutions un Darboux framewor

2024/07/21 by Irfan Mahmood, Mahmood, Irfan
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Phytochemical Studies and Bioactivities

paper · pdf · doi:10.48550/arxiv.2407.15205

openalex publication_date 2024/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article encloses the derivation of Darboux solutions for Kaup Kupershmidt equations with their generalization in determinantal form. One of the main focuses of this work is to construct the Backlund transformation for the different solutions of that equation through its associated Riccati equation and then that transformations further reduces to its algebraic analogue with the help of One-fold Darboux solution. Finally, its exact solutions upto three solitons are calculated with their graphical representations which reveal dynamical profiles of these solutions.

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