On traveling wave solutions with bifurcation analysis for the nonlinear potential Kadomtsev-Petviashvili and Calogero–Degasperis equations

Investigating wave solutions and impact of nonlinearity: Comprehensive study of the KP-BBM model with bifurcation analysis

“…For this, investigators have succeeded in finding solutions for the NLEEs using a variety of analytical and numerical methods. Among many techniques, there are some efficient and powerful schemes which are the improved modified extended tanh-function [ 1 ], the new extended generalized Kudryashov [ 2 ], the unified [ 3 ], the enhanced Kudryashovs [ 4 ], the linear superposition principle and weight algorithm [ 5 ], the AAE [ 6 ], the modified extended auxiliary equation mapping [ 7 ], the Sardar sub-equation [ 8 ], the GERF and modified auxiliary equation [ 9 ], the improve F -expansion [ 10 ], the Hirota’s bilinear [ 11 ], the modification of the simplest equation [ 12 ], the Darboux transformation [ 13 ] and numerous other approaches. Among the many techniques, our stated techniques are effective and powerful to obtain exact/soliton solutions from the NLEEs.…”