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Suppressing internet bottleneck with Kudryashov’s extended version of self-phase modulation and fractional temporal evolution
The current paper employs Kudryashov’s approach to suppress Internet bottleneck effect for the model with factional temporal evolution, linear...
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Retrieval of optical solitons for nonlinear models with Kudryashov’s quintuple power law and dual-form nonlocal nonlinearity
This paper focuses on the use of the Sardar sub-equation method to obtain optical solitons for a nonlinear model that incorporates Kudryashov’s...
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Optical soliton solutions to the perturbed biswas-milovic equation with kudryashov’s law of refractive index
In this study, we will extract new impressive visions for the optical soliton solution and other novel set of the rational soliton solutions to the...
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Optical solitons of new extended (3+1)-dimensional nonlinear Kudryashov’s equation via \(\mathbf {\varvec{\phi }^{6}}\)-model expansion method
The newly developed (3+1)-dimensional nonlinear Kudryashov’s equation offers a framework for studying the behavior of propagating modulated envelope...
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New optical soliton solutions of Biswas–Arshed equation using the generalised exponential rational function approach and Kudryashov’s simplest equation approach
This paper studies the optical soliton solutions of the Biswas–Arshed equation with the help of two different techniques, such as the generalised...
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Optical soliton perturbation with Kudryashov’s law of arbitrary refractive index
This paper recovers and lists optical solitons of perturbed Kudryashov’s model with arbitrary refractive index. Dark, singular and combo singular...
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Exploration of Soliton Solutions in Nonlinear Optics for the Third Order Klein-Fock-Gordon Equation and Nonlinear Maccari’s System
In this article, the main objective is to analytical investigation of the third order Klein-Fock-Gordon eation and the nonlinear Maccari’s system....
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High-stochastic solitons for the eighth-order NLSE through Itô calculus and STD with higher polynomial nonlinearity and multiplicative white noise
This research is the first to deal with high stochastic solitons of the eighth-order NLSE that have higher polynomial nonlinearity and use Itô...
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Optical solitons for the concatenation model with multiplicative white noise
The examination of the concatenation model with spatio-temporal dispersion, Kerr law nonlinearity, and several Hamiltonian perturbation terms, in...
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Dynamic study of Clannish Random Walker’s parabolic equation via extended direct algebraic method
In this article, we present an idea to attain the variety of novel optical solitons solutions for nonlinear time-fractional Clannish Random Walker’s...
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Optical solitons and other wave solutions to fractional-order nonlinear Sasa–Satsuma equation in mono-mode optical fibers using IM extended tanh function method
The primary objective of this paper is to study the short wave pulses propagation through mono-mode optical fibers. To study these optical pulses,...
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Retrieval of solitons and other wave solutions for stochastic nonlinear Schrödinger equation with non-local nonlinearity using the improved modified extended tanh-function method
Stochastic nonlinear Schrödinger model with non-local nonlinearity is introduced. The optical stochastic soliton solutions and other exact stochastic...
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Lie symmetry analysis of cubic–quartic optical solitons having cubic–quintic–septic–nonic form of self-phase modulation structure
The present study examines optical solitons characterized by cubic–quartic dynamics and featuring a self-phase modulation structure encompassing...
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Retrieval of diverse soliton, lump solutions to a dynamical system of the nonlinear Biswas–Milovic equation and stability analysis
In nature, complex phenomena can be described by the system of nonlinear partial differential equations. The solitons are significant nonlinear...
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A study of propagation of the ultra-short femtosecond pulses in an optical fiber by using the extended generalized Riccati equation map** method
In this study, the propagation of the ultra-short femtosecond pulses in an optical fiber is modeled by the Kundu–Eckhaus equation with cubic, quintic...
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Optical solitons of higher order mathematical model with refractive index using Kudryashov method
Studying the highly dispersive model with arbitrary refractive index initiated by Kudryashov is the subject of this work. This model depicts the...
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Exploration new solitons in fiber Bragg gratings with cubic–quartic dispersive reflectivity using improved modified extended tanh-function method
Our paper studies the optical solitons of the fiber Bragg gratings with cubic–quartic dispersive reflectivity having parabolic law and...
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Optical soliton solutions of Schrödinger–Hirota equation with parabolic law nonlinearity via generalized Kudryashov algorithm
The aim of this study is to peruse the dispersive Schrödinger–Hirota equation (SH equation) with parabolic law linearity to get optical soliton...
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Soliton solutions to the non-local Boussinesq equation by multiple exp-function scheme and extended Kudryashov’s approach
In this paper, we study the exact solutions of non-local Boussinesq equation (nlBq) which appears in many scientific fields. We generate dark...
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Bifurcations, stationary optical solitons and exact solutions for complex Ginzburg–Landau equation with nonlinear chromatic dispersion in non-Kerr law media
This paper obtains the stationary optical solitons and new exact solutions for complex Ginzburg–Landau equation (CGLE) with nonlinear chromatic...
