New soliton solutions of fractional Jaulent-Miodek system with symmetry analysis

S Sahoo, S Saha Ray, MAM Abdou, M Inc, YM Chu - Symmetry, 2020 - mdpi.com
New soliton solutions of fractional Jaulent-Miodek (JM) system are presented via symmetry
analysis and fractional logistic function methods. Fractional Lie symmetry analysis is unified …

Some new exact solutions of -dimensional Burgers system via Lie symmetry analysis

E Alimirzaluo, M Nadjafikhah, J Manafian - Advances in Difference …, 2021 - Springer
In this paper, by using the Lie symmetry analysis, all of the geometric vector fields of the (3+
1) (3+1)-Burgers system are obtained. We find the 1, 2, and 3-dimensional optimal system of …

Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation

SBG Karakoc, A Saha, SK Bhowmik, DY Sucu - Wave Motion, 2023 - Elsevier
In this article, a mathematical model symbolizing numerical solutions of the nonlinear
Kudryashov–Sinelshchikov (KS) equation has been investigated. For this aim, we use …

Analysis of Lie symmetries with conservation laws for the (3+ 1) dimensional time-fractional mKdV–ZK equation in ion-acoustic waves

S Sahoo, SS Ray - Nonlinear Dynamics, 2017 - Springer
In this paper, symmetry properties and conservation laws of the (3+ 1) dimensional time-
fractional modified KdV–Zakharov–Kuznetsov (mKdV–ZK) equation have been studied with …

Invariant analysis with conservation laws for the time fractional Drinfeld–Sokolov–Satsuma–Hirota equations

S Sahoo, SS Ray - Chaos, Solitons & Fractals, 2017 - Elsevier
In this paper, the invariance properties of time fractional coupled Drinfeld–Sokolov–Satsuma–
Hirota (DSSH) equations have been investigated using the Lie group analysis method. In …

On the solitary wave solution of fractional Kudryashov–Sinelshchikov equation describing nonlinear wave processes in a liquid containing gas bubbles

AK Gupta, SS Ray - Applied Mathematics and Computation, 2017 - Elsevier
In the present paper, the nonlinear time-fractional Kudryashov–Sinelshchikov equation has
been solved numerically by using radial basis function (RBF) method. The RBF method is …

Non-classical symmetry and new exact solutions of the Kudryashov-Sinelshchikov and modified KdV-ZK equations

M Jafari, S Mahdion - AUT Journal of Mathematics and Computing, 2023 - ajmc.aut.ac.ir
‎ In this paper‎,‎ by applying the non-classical symmetry method‎,‎ non-classical symmetries of
the Kodryashov-Sinleschikov (KS) and‎‎ modified Korteweg-de Vries-Zaharov-Kuznetsov …

[PDF][PDF] Approximate analytical solution to the Kudryashov-Sinelshchikov equation with he's fractional derivative

X Zhang - Thermal Science, 2023 - doiserbia.nb.rs
APPROXIMATE ANALYTICAL SOLUTION TO THE KUDRYASHOV-SINELSHCHIKOV
EQUATION WITH HE’S FRACTIONAL DERIVATIVE Page 1 Zhang, X.: Approximate …

Kudryashov-Sinelshchikov equation: phase portraits, bifurcation analysis and solitary waves

KK Ali - Optical and Quantum Electronics, 2024 - Springer
This work investigates the Kudryashov-Sinelshchikov equation, which explains the influence
of viscosity and heat transfer on pressure wave propagation. This equation is transformed …

Exact Solutions of the Kudryashov‐Sinelshchikov Equation Using the Multiple G/G‐Expansion Method

Y He, S Li, Y Long - Mathematical Problems in Engineering, 2013 - Wiley Online Library
Exact traveling wave solutions of the Kudryashov‐Sinelshchikov equation are studied by the
G′/G‐expansion method and its variants. The solutions obtained include the form of Jacobi …