Variable sinh-Gaussian solitons in nonlocal nonlinear Schrödinger equation

Dynamical plane wave solutions for the Heisenberg model of ferromagnetic spin chains with beta derivative evolution and obliqueness

“…Such phenomena have been studied by deriving a mathematical physics equation from the aforementioned model, namely, nonlinear Schrödinger equation (NLSE). Because mathematical physics equations [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] provide an arena to study the physical issues not only in the aforementioned system but also in other diverse physical systems. The details of the derivation of NLSE from the Heisenberg model are given in Ref.…”

Propagation dynamics of dipole breathing wave in lossy nonlocal nonlinear media

“…[32,33] We also theoretically discussed the propagation and interaction characteristics of various moving solitons and soliton arraies, including the breathing state in HNNMs. [34][35][36][37][38] As a typical representative of HNNMs, NLCMs have received a great deal of attention experimentally and theoretically. For example, the self-trapping of light beams has been tested in NLCMs via the Lagrangian approach.…”

The Classification of Traveling Wave Solutions to Space-Time Fractional Resonance Nonlinear Schrödinger Type Equation with a Special Kind of Fractional Derivative

“…This equation is widely used in fluid dynamics, especially the Madelung's fluids in several nonlinear systems [12][13][14]. And in other fields such as nonlinear optics [15,16] and plasma and nuclear physics [17][18][19][20], the resonance nonlinear Schrödinger equation also plays a vital role. In [11], Yepezmartinez and Gomezaguilar obtained soliton solutions to some forms of deformation of Equation ( 3) by the subequation method.…”