High-order solitary waves, fission, hybrid waves and interaction solutions in the nonlinear dissipative (2+ 1)-dimensional Zabolotskaya-Khokhlov model
T Han, H Rezazadeh, MU Rahman - Physica Scripta, 2024 - iopscience.iop.org
Abstract The Zabolotskaya-Khokhlov model (ZKm) is a widely used nonlinear model in the
fields of sound, ultrasound, and shock waves. The aims of this paper stems from its …
fields of sound, ultrasound, and shock waves. The aims of this paper stems from its …
Qualitative analysis and optical soliton solutions galore: scrutinizing the (2+ 1)-dimensional complex modified Korteweg–de Vries system
B Kopçasız - Nonlinear Dynamics, 2024 - Springer
Abstract This investigation discusses the (2+ 1)-dimensional complex modified Korteweg–de
Vries (cmKdV) system. The cmKdV system describes the nontrivial dynamics of water …
Vries (cmKdV) system. The cmKdV system describes the nontrivial dynamics of water …
Invariant solutions, lie symmetry analysis, bifurcations and nonlinear dynamics of the Kraenkel-Manna-Merle system with and without damping effect
This work investigates the Kraenkel-Manna-Merle (KMM) system, which models the
nonlinear propagation of short waves in saturated ferromagnetic materials subjected to an …
nonlinear propagation of short waves in saturated ferromagnetic materials subjected to an …
[HTML][HTML] Exploring Soliton Solutions and Chaotic Dynamics in the (3+ 1)-Dimensional Wazwaz–Benjamin–Bona–Mahony Equation: A Generalized Rational …
This paper investigates the explicit, accurate soliton and dynamic strategies in the resolution
of the Wazwaz–Benjamin–Bona–Mahony (WBBM) equations. By exploiting the ensuing …
of the Wazwaz–Benjamin–Bona–Mahony (WBBM) equations. By exploiting the ensuing …
[HTML][HTML] Soliton solutions of thin-film ferroelectric materials equation
This study examines the thin-film ferroelectric materials equation via two most efficient and
reliable integrating schemes. These schemes include the (G′ G, 1 G)-expansion method …
reliable integrating schemes. These schemes include the (G′ G, 1 G)-expansion method …
Lie-bäcklund symmetry, soliton solutions, chaotic structure and its characteristics of the extended (3+ 1) dimensional Kairat-II model
M Almheidat, M Alqudah, AA Alderremy, M Elamin… - Nonlinear …, 2024 - Springer
Abstract This study investigates the (3+ 1)-dimensional extended Kairat-II model using Lie-
Bäcklund symmetry (LBS) and the improved modified extended tanh-function approach …
Bäcklund symmetry (LBS) and the improved modified extended tanh-function approach …
[HTML][HTML] Investigation of the intricate dynamics and a variety of hybrid soliton, solutions of the (3+ 1)-dimensional Boussinesq equation
This manuscript delves into the captivating domain of the (3+ 1)-dimensional Boussinesq
equation, unraveling its complex dynamics and revealing mesmerizing soliton solutions. Our …
equation, unraveling its complex dynamics and revealing mesmerizing soliton solutions. Our …
Inquisition of optical soliton structure and qualitative analysis for the complex-coupled Kuralay system
B Kopçasız, E Yaşar - Modern Physics Letters B, 2024 - World Scientific
This study seeks to explore the integrable dynamics of induced curves through the utilization
of the complex-coupled Kuralay system. The importance of the coupled complex Kuralay …
of the complex-coupled Kuralay system. The importance of the coupled complex Kuralay …
Exact solitary wave propagations for the stochastic Burgers' equation under the influence of white noise and its comparison with computational scheme
In this manuscript, the well-known stochastic Burgers' equation in under investigation
numerically and analytically. The stochastic Burgers' equation plays an important role in the …
numerically and analytically. The stochastic Burgers' equation plays an important role in the …
Unveiling the Power of Implicit Six-Point Block Scheme: Advancing numerical approximation of two-dimensional PDEs in physical systems
E Olaoluwa Omole, E Olusheye Adeyefa… - Plos one, 2024 - journals.plos.org
In the era of computational advancements, harnessing computer algorithms for
approximating solutions to differential equations has become indispensable for its …
approximating solutions to differential equations has become indispensable for its …