Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901096 | Reports on Mathematical Physics | 2011 | 12 Pages |
Abstract
Nonlinear diffusion equations in the class
utâf(x)âx(g(x)C(u)ux)=0 connected with constant coefficient equations which admit nonlocal mvariance or linearization by the generalized hodograph transformation are considered. Formulae for generation of solutions and formulae of nonlinear superposition for variable coefficient equations are constructed. Exact solutions of these equations are obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
O.V. Petrova, V.A. Tychynin,