scholarly journals On invariant analysis, group classification and conservation laws of two component Novikov equation

2020 ◽  
Vol 10 (1) ◽  
pp. 34
Author(s):  
Manjit Singh
Keyword(s):  
Conservation Laws ◽  
Group Classification ◽  
Analysis Group ◽  
Two Component ◽  
Novikov Equation ◽  
Invariant Analysis

Lie symmetries, conservation laws and analytical solutions for two-component integrable equations

2017 ◽  
Vol 55 (3) ◽  
pp. 996-1010 ◽  
Author(s):  
Lian-Li Feng ◽  
Shou-Fu Tian ◽  
Tian-Tian Zhang ◽  
Jun Zhou
Keyword(s):  
Conservation Laws ◽  
Analytical Solutions ◽  
Lie Symmetries ◽  
Integrable Equations ◽  
Two Component

scholarly journals Symmetry Group Classification and Conservation Laws of the Nonlinear Fractional Diffusion Equation with the Riesz Potential

Symmetry ◽  
2020 ◽  
Vol 12 (1) ◽  
pp. 178 ◽  
Author(s):  
Nikita S. Belevtsov ◽  
Stanislav Yu. Lukashchuk
Keyword(s):  
Diffusion Equation ◽  
Conservation Laws ◽  
Symmetry Group ◽  
Fractional Differential Equations ◽  
Riesz Potential ◽  
Fractional Diffusion ◽  
Group Classification ◽  
Fractional Diffusion Equation ◽  
Space Fractional Diffusion Equation ◽  
Fractional Differential

Symmetry properties of a nonlinear two-dimensional space-fractional diffusion equation with the Riesz potential of the order α ∈ ( 0 , 1 ) are studied. Lie point symmetry group classification of this equation is performed with respect to diffusivity function. To construct conservation laws for the considered equation, the concept of nonlinear self-adjointness is adopted to a certain class of space-fractional differential equations with the Riesz potential. It is proved that the equation in question is nonlinearly self-adjoint. An extension of Ibragimov’s constructive algorithm for finding conservation laws is proposed, and the corresponding Noether operators for fractional differential equations with the Riesz potential are presented in an explicit form. To illustrate the proposed approach, conservation laws for the considered nonlinear space-fractional diffusion equation are constructed by using its Lie point symmetries.

Group classification and conservation laws of anisotropic wave equations with a source

2016 ◽  
Vol 57 (8) ◽  
pp. 083504 ◽  
Author(s):  
N. H. Ibragimov ◽  
M. L. Gandarias ◽  
L. R. Galiakberova ◽  
M. S. Bruzon ◽  
E. D. Avdonina
Keyword(s):  
Conservation Laws ◽  
Wave Equations ◽  
Group Classification
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