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math.AP2010★ 2 cited
Eigenfunctions and Very Singular Similarity Solutions of Odd-Order Nonlinear Dispersion PDEs
R. S. Fernandes, V. A. Galaktionov
Asymptotic properties of solutions of odd-order nonlinear dispersion equations are studied. The global in time similarity solutions, which lead to eigenfunctions of the rescaled OD…
math.AP2009★ 3 cited
Very Singular Similarity Solutions and Hermitian Spectral Theory for Semilinear Odd-Order PDEs
R. S. Fernandes, V. A. Galaktionov
Very singular self-similar solutions of semilinear odd-order PDEs are studied on the basis of a Hermitian-type spectral theory for linear rescaled odd-order operators.