Propagation of single valued magnetic solitary waves in circularly polarized ferrites

Complex Kraenkel-Manna-Merle system in a ferrite: N-fold Darboux transformation, generalized Darboux transformations and solitons

“…For the ultra-short waves in a ferrite, Refs. [17][18][19][20] have studied the complex Kraenkel-Manna-Merle system that reads…”

“…Reference [17] has obtained the following Lax pair of System (1) free of the damping and inhomogeneous parameters:…”

“…where Φ = (φ, ψ) T , φ and ψ are the complex differentiable functions of x and t, spectral parameter λ is a complex constant, i = √ −1, the superscript "T " means the transpose for a vector/matrix. System (1) has been reproduced through the compatibility condition U t − V x + U V − V U = 0 [17]. Inverse scattering transform and N -soliton solutions of System (1) have been worked out [17].…”

“…System (1) has been reproduced through the compatibility condition U t − V x + U V − V U = 0 [17]. Inverse scattering transform and N -soliton solutions of System (1) have been worked out [17]. Influence of damping and inhomogeneous exchange effects of System (1) has been studied [18].…”

“…However, to our knowledge, N -fold and generalized Darboux transformations (DTs) of System (1), as well as some soliton solutions different from those in Refs. [17][18][19][20] have not been reported, where N is a positive integer. In Sect.…”