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Dust ion-acoustic singular solitons interaction with non-extensive electrons
Two nonlinear evolution equations (NLEEs) viz Korteweg–de Vries (KdV) and modified Korteweg–de Vries (MKdV) equations are derived from the dust...
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Optical soliton solutions of complex Ginzburg–Landau equation with triple power law and modulation instability
This paper examines the complex Ginzburg Landau equation, which describes pulse propagation inside a fiber with the triple power law of self-phase...
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Singular electromagnetic fields in nonlinear electrodynamics with a constant background field
When exploring equations of nonlinear electrodynamics in effective medium formed by mutually parallel external electric and magnetic fields, we come...
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A Feynman integral depending on two elliptic curves
We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two...
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Optical solitonic structures with singular and non-singular kernel for nonlinear fractional model in quantum mechanics
The present study examines the nonlinear time-fractional model in the sense of a solitonic structure. A non-linear Schrödinger equation has...
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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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Stability analysis and dispersive optical solitons of fractional Schrödinger–Hirota equation
In this article, we investigate the generalised version of the nonlinear Schrödinger equation namely the fractional Schrödinger–Hirota (NLFSH)...
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Integral
Here we discuss an indefinite and definite integral and main methods of integration.
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Analysing of different wave structures to the dissipative NLS equation and modulation instability
This study investigates the (1+1) dimensional dissipative nonlinear Schrödinger equation, which has applications in modeling the evolution of swell...
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The Sommerfeld Integral in Problems of Simulating the Diffraction of Acoustic Waves Using a Triangular Lattice
Analytical solutions are obtained for two problems for a discrete analogue of the Helmholtz equation on a triangular lattice: (1) the problem of...
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Solving Einstein’s Equation
Solving Einstein’s Equation is an important problem in general relativity. Many exact solutions play important roles in the study and development of...
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Optical soliton solutions of generalized Pochammer Chree equation
This research investigates the utilization of a modified version of the Sardar sub-equation method to discover novel exact solutions for the...
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Extraction of new optical solitons of conformable time fractional generalized RKL equation via quadrupled power-law of self-phase modulation
In the current work, we investigate the optical solitons and exact solutions for the conformable time fractional generalized...
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Analytic soliton solutions for RKL equation with quadrupled power-law of self-phase modulation using modified extended direct algebraic method
The fast development of technology and science increases the demand on solving quite complicated nonlinear partial differential equations (NLPDEs) in...
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Analytical solution for the dynamics and optimization of fractional Klein–Gordon equation: an application to quantum particle
Klein–Gordon equation characterizes spin-particles through neutral charge field within quantum particle. In this context, fractionalized Klein–Gordon...
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Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
In this paper, we investigate a solution for an asymptotic, magnetically-charged, non-singular (AMCNS) black hole. By utilizing the Gauss–Bonnet...
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Path Integral Treatment of a Linear Combination of Deformed Diatomic Molecule Potentials
The approximate bound state solutions of Schrödinger equation with linear combination of a four-parameter diatomic potential plus inversely quadratic...
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Exact solutions of the fractional resonant nonlinear Schrödinger equation
In this study, we extend the resonant nonlinear Schrödinger equation with dual-power law nonlinearity to the fractional case. Consequently, novel...
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Singular Limits of Relative Entropy in Two Dimensional Massive Free Fermion Theory
We show that certain singular limits of relative entropy of vacuum states in two dimensional massive free fermion theory exist and compute these...
