N. M. Ivanova

activity

20032011

most citedNew results on group classification of nonlinear diffusion-convection equations

109 citations · 434 across the 20 of their papers we have counts for

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Showing 2006 · math-phShow all

3 papers · 2 filters

math-ph2006★ 6 cited

Equivalence of conservation laws and equivalence of potential systems

Nataliya M. Ivanova, Roman O. Popovych

We study conservation laws and potential symmetries of (systems of) differential equations applying equivalence relations generated by point transformations between the equations.…

math-ph2006

Conservation Laws and Symmetries of Semilinear Radial Wave Equations

Stephen C. Anco, Nataliya M. Ivanova

Classifications of symmetries and conservation laws are presented for a variety of physically and analytically interesting wave equations with power onlinearities in n spatial dime…

math-ph2006

Conservation Laws of Multidimensional Diffusion-Convection Equations

Nataliya M. Ivanova

All possible linearly independent local conservation laws for $n$ -dimensional diffusion--convection equations $u_{t} = (A (u))_{ii} + (B^{i} (u))_{i}$ were constructed using the direct method…