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Light Propagation in Matter
In this chapter, we discuss the propagation of light in matter. In the first part of the chapter, we consider the interaction between dielectric... -
Nonlocal Cubic-Quintic Nonlinear Schrödinger Equation: Symmetry Breaking Solitons and Its Trajectory Rotation
AbstractUsing two analytical methods, we derive exact and more general solutions of the nonlocal nonlinear Schrödinger equation with nonlocal cubic...
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Interference Phenomenon in the Wavepacket-Triangular Prism Collision in Fractional Schrodinger Equation
Collision of one, two, and three Gaussian wavepackets with a triangular prism and the evolution of a static Gaussian wavepacket inside the prism has...
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Origin of Gap Solitons in Gaussian Apodized Centro-Symmetrical Non-linear KLTN Lattices
Optical spatial gap solitons are investigated in biased centrosymmetric photorefractive media exhibiting the Kerr nonlinearity with an embedded... -
Dynamical behavior of the higher-order cubic-quintic nonlinear Schrödinger equation with stability analysis
In this paper, we explore the intricate dynamics of ultrashort light pulses using a sophisticated higher-order nonlinear Schrödinger equation (NLSE)....
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Exploring optical soliton solutions of a self-focusing nonlinear Schrödinger equation by two effective techniques
In this manuscript, we have conducted a comprehensive investigation of the self-focusing Schrödinger equation with fourth-order dispersion, yielding...
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Phase Recovery Algorithm Based on Intensity Transport Equation and Angular Spectrum Iteration
Phase recovery algorithm is to use the intensity distribution obtained from direct measurement to recover the phase and reconstruct the wave... -
Effects of fractional derivative on fiber optical solitons of (2 + 1) perturbed nonlinear Schrödinger equation using improved modified extended tanh-function method
This work explores the effect of fractional derivative on the fourth-order nonlinear Schrödinger equation with Kerr law nonlinearity, a highly...
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Propagation characters of dark and antidark Gaussian laser beams in collisionless magnetized plasma
Theoretical investigation of propagation dynamics of dark and antidark Gaussian (DADG) laser beams in magnetized plasma has been presented. Main...
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A space–time DG method for the Schrödinger equation with variable potential
We present a space–time ultra-weak discontinuous Galerkin discretization of the linear Schrödinger equation with variable potential. The proposed...
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Discrete Solitons of the Ginzburg-Landau Equation
In this chapter we review recent results concerning localized and extended dissipative solutions of the discrete complex Ginzburg-Landau equation. In... -
The Pearcey Equation: From the Salpeter Relativistic Equation to Quasiparticles
This work presents the Pearcey equation, a quasi-relativistic wave equation for spinless particles with non-zero rest mass. This equation was... -
The propagation properties of a Laguerre–Gaussian beam in nonlinear plasma
The self-focusing properties of the Laguerre–Gaussian beams in nonlinear plasma, characterized by significant collisional or ponderomotive...
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Combined effect of relativistic and ponderomotive nonlinearities on self-focusing of asymmetric finite Airy–Gaussian laser beams in plasma
This paper presents an investigation of combined effect of relativistic and ponderomotive nonlinearities on self-focusing of finite Airy–Gaussian...
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Wave structures of the (3+1)-dimensional nonlinear extended quantum Zakharov–Kuznetsov equation: analytical insights utilizing two high impact methods
In this manuscript, we employ the unified method and the Sardar subequation method to systematically analyze various wave structures within the...
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Propagation properties of higher-order cosine-hyperbolic-Gaussian beams in a chiral medium
The paraxial propagation of a higher-order cosine-hyperbolic-Gaussian beam (HOChGB) in a chiral medium is investigated theoretically. Analytical...
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Asymmetric topological pum** in nonparaxial photonics
Topological photonics was initially inspired by the quantum-optical analogy between the Schrödinger equation for an electron wavefunction and the...
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A comparative study of extraordinary and ordinary modes in the presence of external magnetic field in self-focusing of higher-order mode TEM\(_{m,n}\) of elegant Hermite–cosh-Gaussian laser beams in collisionless plasma medium
This work investigates the complexity involved in extraordinary ( E -mode) and ordinary ( O -mode) mode in the presence of external magnetic field in...
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Kuznetsov–Ma rogue wave clusters of the nonlinear Schrödinger equation
In this work, we investigate rogue wave (RW) clusters of different shapes, composed of Kuznetsov–Ma solitons (KMSs) from the nonlinear Schrödinger...