Formation of optical soliton wave profiles of Shynaray-IIA equation via two improved techniques: a comparative study
This study employs the new extended direct algebraic method and improved sardar sub-
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …
equation method to investigate solitary wave solutions in the Shynaray-IIA equation, which …
A variety of newly formed soliton solutions and patterns of dynamic waveforms for the generalized complex coupled Schrödinger–Boussinesq equations
In this work, we use the generalized Riccati equation mapping method (GREMM) to seek
solitary and periodic wave solutions to the generalized complex coupled Schrödinger …
solitary and periodic wave solutions to the generalized complex coupled Schrödinger …
[HTML][HTML] Stable and effective traveling wave solutions to the non-linear fractional Gardner and Zakharov–Kuznetsov–Benjamin–Bona–Mahony equations
The space–time fractional Gardner and Zakharov–Kuznetsov–Benjamin–Bona–Mahony
(ZKBBM) equations are used to explain the transmission of shallow water waves inside a …
(ZKBBM) equations are used to explain the transmission of shallow water waves inside a …
A study of the wave dynamics of the space–time fractional nonlinear evolution equations of beta derivative using the improved Bernoulli sub-equation function …
The space–time fractional nonlinear Klein-Gordon and modified regularized long-wave
equations explain the dynamics of spinless ions and relativistic electrons in atom theory …
equations explain the dynamics of spinless ions and relativistic electrons in atom theory …
Nonlinear dispersive wave propagation pattern in optical fiber system
Nonlinear fractional-order partial differential equations are an important tool in science and
engineering for explaining a wide range of nonlinear processes. We consider the nonlinear …
engineering for explaining a wide range of nonlinear processes. We consider the nonlinear …
[HTML][HTML] Utilizing the extended tanh-function technique to scrutinize fractional order nonlinear partial differential equations
In a range of nonlinear fields, for example molecular biology, physics in plasma, quantum
mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many …
mechanics, elastic media, nonlinear optics, the surface of water waves, and others, many …
Study the dynamic behavior of bifurcation, chaos, time series analysis and soliton solutions to a Hirota model
The unified technique is a direct method that is employed in this study to extract a wide
range of accurate solutions of the (2+ 1)-dimensional Hirota model. The governing model is …
range of accurate solutions of the (2+ 1)-dimensional Hirota model. The governing model is …
Studying the impacts of M-fractional and beta derivatives on the nonlinear fractional model
F Batool, MS Suleman, U Demirbilek… - Optical and Quantum …, 2024 - Springer
The major goal of the current research is to investigate the effects of fractional parameters on
the dynamic response of soliton waves of fractional non-linear density-dependent reaction …
the dynamic response of soliton waves of fractional non-linear density-dependent reaction …
[HTML][HTML] Solitary wave solution to the space–time fractional modified Equal Width equation in plasma and optical fiber systems
Nonlinear fractional evolution equations play a crucial role in characterizing assorted
complex nonlinear phenomena observed in different scientific fields, including plasma …
complex nonlinear phenomena observed in different scientific fields, including plasma …
Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method
This paper deals with a nonlinear Schrödinger equation in the sense of conformable
derivative. Bifurcations and phase portraits are first proposed by using bifurcation theory …
derivative. Bifurcations and phase portraits are first proposed by using bifurcation theory …