scholarly journals Nonclassical Symmetries of a Power Law Harry Dym Equation

Symmetry ◽  
2018 ◽  
Vol 10 (4) ◽  
pp. 100 ◽  
Author(s):  
◽  
Keyword(s):  
Power Law ◽  
Dym Equation ◽  
Nonclassical Symmetries ◽  
Harry Dym Equation

scholarly journals Self-Adjointness and Conservation Laws of Frobenius Type Equations

Symmetry ◽  
2020 ◽  
Vol 12 (12) ◽  
pp. 1987
Author(s):  
Haifeng Wang ◽  
Yufeng Zhang
Keyword(s):  
Conservation Laws ◽  
Burgers Equation ◽  
Kdv Equation ◽  
The Self ◽  
Kp Equation ◽  
Commutative Subalgebra ◽  
Kompaneets Equation ◽  
Dym Equation ◽  
Harry Dym Equation

The Frobenius KDV equation and the Frobenius KP equation are introduced, and the Frobenius Kompaneets equation, Frobenius Burgers equation and Frobenius Harry Dym equation are constructed by taking values in a commutative subalgebra Z2ε in the paper. The five equations are selected as examples to help us study the self-adjointness of Frobenius type equations, and we show that the first two equations are quasi self-adjoint and the last three equations are nonlinear self-adjointness. It follows that we give the symmetries of the Frobenius KDV and the Frobenius KP equation in order to construct the corresponding conservation laws.

scholarly journals The generalized Harry Dym equation

2003 ◽  
Vol 317 (3-4) ◽  
pp. 260-264 ◽  
Author(s):  
Ziemowit Popowicz
Keyword(s):  
Dym Equation ◽  
Harry Dym Equation

scholarly journals Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

2019 ◽  
Vol 4 (1) ◽  
pp. 35-42 ◽  
Author(s):  
Asıf Yokuş ◽  
Sema Gülbahar
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Numerical Solutions ◽  
Von Neumann ◽  
Non Linear ◽  
The Finite Difference Method ◽  
Dym Equation ◽  
Harry Dym Equation ◽  
Linearization Techniques

AbstractIn this study, numerical solutions of the fractional Harry Dym equation are investigated. Linearization techniques are utilized for non-linear terms existing in the fractional Harry Dym equation. The error norms L2 and L∞ are computed. Stability of the finite difference method is studied with the aid of Von Neumann stabity analysis.

Sign in / Sign up

Export Citation Format

Share Document