Novel Localized Excitations Structures with Fusion and Fission Properties to a (2 + 1)-Dimensional Breaking Soliton Equation

Lump, multi-lump, cross kinky-lump and manifold periodic-soliton solutions for the (2+1)-D Calogero–Bogoyavlenskii–Schiff equation

“…The nonlinear partial differential equations (NPDEs) have remained a subject of international research interest in physics, chemistry, biology and nonlinear sciences, especially, in nonlinear optics, photonics, Bose-Einstein condensate, harbor and coastal designs (Bruzon et al, 2003;Peng, 2006;Kobayashi and Toda, 2006;Li and Chen, 2004;Wang and Yang, 2012;Chen and Ma, 2018;Wazwaz, 2008;Ullah et al, 2020;Roshid and Ma, 2018;Hossen et al, 2018;Ming et al, 2013;Khatun et. al., 2020).…”

Ion Acoustic Solitary Wave Solutions to mKdV-ZK Model in Homogeneous Magnetized Plasma

“…Therefore, the study of accurate exact solutions to realize internal properties of NEMs demonstrates a crucial task for understanding of the majority nonlinear substantial happenings or acquiring novel occurrences. More scientists expended efforts to release inventive proficient procedures designed for explanation of interior properties of NEMs amid with constant coefficients has been established such as a distinct arithmetic structure [5], IRM-CG technique [6], transformed rational function method [7], fractional residual technique [8], new multistage procedure [9], new analytical method [10], extended tanh scheme [11], Hirota-bilinear scheme [12][13][14], multi expexpansion technique [15,16], the Kudryashov and the extended sine-Gordon schemes [17], variable separation method [18], MSE method [19], the nonlinear capacity [20], Jacobi elliptic function [21], the pitchfork bifurcation [22], ansatz method [23], higher order rogue wave [24], fractional natural decomposition method [25], generalized exponential rational function scheme [26], numerical and three analytic schemes [27], 1=G 0 -expansion scheme [28], the φ 6 -model method [29,30], and so on. All of the above techniques provide sinusoidal and hyperbolic results.…”