New soliton solutions of fractional Jaulent-Miodek system with symmetry analysis
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 …
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 …
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
In this article, a mathematical model symbolizing numerical solutions of the nonlinear
Kudryashov–Sinelshchikov (KS) equation has been investigated. For this aim, we use …
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
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 …
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
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 …
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
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 …
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 …
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 …
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 …
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 …
G′/G‐expansion method and its variants. The solutions obtained include the form of Jacobi …