Application of new Kudryashov method to various nonlinear partial differential equations
The purpose of this work is to seek various innovative exact solutions using the new
Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This …
Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This …
Geometrical patterns of time variable Kadomtsev–Petviashvili (I) equation that models dynamics of waves in thin films with high surface tension
Lump solutions are a prominent option for numerous models of nonlinear evolution. The
intention of this research is to explore the variable coefficients Kadomtsev–Petviashvili …
intention of this research is to explore the variable coefficients Kadomtsev–Petviashvili …
On the dynamics of the nonautonomous multi-soliton, multi-lump waves and their collision phenomena to a (3+ 1)-dimensional nonlinear model
One of the most popular ways to solve wave equations and explain nonlinear physical
phenomena is with nonautonomous soliton solutions. This work aims to analyze the (3+ 1) …
phenomena is with nonautonomous soliton solutions. This work aims to analyze the (3+ 1) …
Non-linear soliton solutions of perturbed Chen-Lee-Liu model by model expansion approach
This study deals with the perturbed Chen-Lee-Liu governing mode which portrays the
propagating phenomena of the optical pulses in the discipline of optical fiber and plasma …
propagating phenomena of the optical pulses in the discipline of optical fiber and plasma …
Optical soliton solutions of the Chen–Lee–Liu equation in the presence of perturbation and the effect of the inter-modal dispersion, self-steepening and nonlinear …
In this paper, we have investigated the perturbed Chen–Lee–Liu equation which describes
the pulse propagation in the optical fibers, under the impact of the inter-modal dispersion …
the pulse propagation in the optical fibers, under the impact of the inter-modal dispersion …
[HTML][HTML] Solitary waves of the generalized Radhakrishnan-Kundu-Lakshmanan equation with four powers of nonlinearity
NA Kudryashov - Physics Letters A, 2022 - Elsevier
Abstract The complex Radhakrishnan-Kundu-Lakshmanan equation having polynomial law
of nonlinearity with four powers is considered. The Cauchy problem for this partial …
of nonlinearity with four powers is considered. The Cauchy problem for this partial …
[HTML][HTML] Optical soliton solutions for time-fractional Ginzburg–Landau equation by a modified sub-equation method
In the present work, we employed a novel modification of the Sardar sub-equation approach,
leading to the successful derivation of several exact solutions for the time-fractional …
leading to the successful derivation of several exact solutions for the time-fractional …
[HTML][HTML] Physical wave propagation and dynamics of the Ivancevic option pricing model
In this study, the Ivancevic option pricing model (IOPM), a nonlinear wave alternative to the
traditional Black–Scholes option pricing model, is investigated. The Ivancevic option pricing …
traditional Black–Scholes option pricing model, is investigated. The Ivancevic option pricing …
[HTML][HTML] Dynamical analysis and new solitary wave patterns of coupled nonlinear Schrödinger model arising in birefringent fibers
Coupled nonlinear Schrödinger type equation is used to represent the transmission of
optical signals in birefringent fibers. These types of equations are significant models for a …
optical signals in birefringent fibers. These types of equations are significant models for a …
[HTML][HTML] Multiple fusion solutions and other waves behavior to the Broer-Kaup-Kupershmidt system
In this article, the Hirota bilinear method is utilized to reveal multi-fusion solutions to the
Broer-Kaup-Kupershmidt (BKK) system in (2+ 1)-dimension. The Broer-Kaup equations are …
Broer-Kaup-Kupershmidt (BKK) system in (2+ 1)-dimension. The Broer-Kaup equations are …