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math-ph2012★ 26 cited
New classes of nonlinearly self-adjoint evolution equations of third- and fifth-order
Igor Leite Freire
In a recent communication Nail Ibragimov introduced the concept of nonlinearly self-adjoint differential equation [N. H. Ibragimov, Nonlinear self-adjointness and conservation laws…
math-ph2012★ 29 cited
Group Analysis of the Novikov Equation
Yuri Bozhkov, Igor Leite Freire, Nail H. Ibragimov
We find the Lie point symmetries of the Novikov equation and demonstrate that it is strictly self-adjoint. Using the self-adjointness and the recent technique for constructing cons…