Deformed breather and rogue waves for the inhomogeneous fourth-order nonlinear Schrödinger equation in alpha-helical proteins

Meng, Guang; Pan, Yu-Song; Xie, Xin

doi:10.1007/s11071-020-05622-6

Cited by 5 publications

(1 citation statement)

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“…Recently, this method has been widely applied to describe solutions localized in different types of systems (see Refs. [60][61][62][63][64][65][66][67][68] for solutions of inhomogeneous NLS equation obtained with other methodologies). Here, by using the similarity transformation we construct analytical solutions capable of describing the behavior of a Fermi gas in the BCS superfluid state in the presence of inhomogeneities.…”

Section: Introductionmentioning

confidence: 99%

Modulation of localized solutions of an inhomogeneous cigar-shaped superfluid fermion gas

Santos

Cardoso

2021

Nonlinear Dyn

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Localized solutions of an inhomogeneous cigar-shaped superfluid fermion gas are obtained in this paper. The effective mean field equation governing the cigar-shaped inhomogeneous superfluid Fermi gas is a nonlinear Schrödinger equation with variable coefficients. It is employed the similarity transformation method to convert the nonautonomous equation into an autonomous one. Furthermore, it is shown that the solution found for the autonomous equation is linearly stable. Finally, by using the conditional relations of the similarity transformation, the solution of the inhomogeneous system is constructed. Additional numerical simulations were performed to verify the stability of the solutions.

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