Symmetry analysis, analytical solutions and conservation laws of a generalized KdV–Burgers–Kuramoto equation and its fractional version

G Wang - Fractals, 2021 - World Scientific
Wave motions play an important role in fluid dynamics and engineering issues. In this paper,
a systematic study to the generalized KdV–Burgers–Kuramoto equation is presented resort …

[PDF][PDF] Novel solutions to the undamped and damped KdV-Burgers-Kuramoto equations and modeling the dissipative nonlinear structures in nonlinear media

NH Aljahdaly, SA El-Tantawy, AM Wazwaz, HA Ashi - Rom. Rep. Phys, 2022 - rrp.nipne.ro
In this paper two approaches including the Tanh-expansion method and G/G2-expansion
method are introduced to find a hierarchy of traveling wave solutions to the integrable KdV …

[HTML][HTML] On the shock wave structures in anisotropy magnetoplasmas

W Albalawi, MA Hammad, M Khalid, A Kabir… - AIP Advances, 2023 - pubs.aip.org
In this work, the propagation of nonlinear electrostatic shock wave structures in an
anisotropy pressure magnetoplasma composed of warm inertial ions and inertia-less …

Space-Time Fractional KdV–Burger–Kuramato Equation with Time Dependent Variable Coefficients: Lie Symmetry, Explicit Power Series Solution, Convergence …

V Yadav, RK Gupta - International Journal of Applied and Computational …, 2022 - Springer
In this paper, Lie symmetry reduction, power series solutions, convergence analysis and
conservation laws have been examined for the space-time fractional KdV–Burger–Kuramato …

Travelling waves solutions of the KP equation in weakly dispersive media

A Althobaiti - Open Physics, 2022 - degruyter.com
The current work focuses on the solutions of the Kadomtsev and Petviashvili (KP) equation,
which models nonlinear waves in a dispersive medium. The modified auxiliary equation …

Lie symmetry approach to study the impact of a bulge on hemodynamics in an elastic‐compliant artery

V Jadaun - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
Fluid mechanics and the transport of blood gases play an important role in understanding
how constitutive relations of the arterial system contribute to human functioning within …

On the similarity solutions and conservation laws of the Cooper‐Shepard‐Sodano equation

MS Bruzón, E Recio, TM Garrido… - … Methods in the …, 2018 - Wiley Online Library
In this paper, for the Cooper‐Shepard‐Sodano equation, some conservation laws are
obtained by applying the multiplier method. Furthermore, we study this equation from the …

Physical informed memory networks based on domain decomposition for solving nonlinear partial differential equations

J Sun, H Dong, M Liu, Y Fang - The European Physical Journal Special …, 2024 - Springer
In recent years, deep learning models have emerged as a popular numerical method for
solving nonlinear partial differential equations (PDEs). In this paper, the improved physical …

Wave Solutions for a (2+ 1)-Dimensional Burgers–KdV Equation with Variable Coefficients via the Functional Expansion Method

R Cimpoiasu, R Constantinescu - Symmetry, 2024 - mdpi.com
A (2+ 1)-dimensional fourth order Burgers–KdV equation with variable coefficients (vcBKdV)
is studied here and interesting wave-type solutions with variable amplitudes and velocities …

On the conservation laws and solutions of a (2+ 1) dimensional KdV-mKdV equation of mathematical physics

T Motsepa, C Masood Khalique - Open Physics, 2018 - degruyter.com
In this paper, we study a (2+ 1) dimensional KdV-mKdV equation, which models many
physical phenomena of mathematical physics. This equation has two integral terms in it. By …