6 citations · 14 across the 8 of their papers we have counts for
4 papers · 2 filters
Group Analysis of Nonlinear Internal Waves in Oceans. III: Additional conservation laws
Nail H. Ibragimov, Ranis N. Ibragimov
Using the maximal Lie algebra of point symmetries of a system of nonlinear equations used in geophysical fluid dynamics, two conservation laws are found in addition to the conserva…
Group Analysis of Nonlinear Internal Waves in Oceans. II: The symmetries and rotationally invariant solution
Nail H. Ibragimov, Ranis N. Ibragimov, Vladimir F. Kovalev
74J30The maximal group of Lie point symmetries of a system of nonlinear equations used in geophysical fluid dynamics is presented. The Lie algebra of this group is infinite-dimensi…
Group Analysis of Nonlinear Internal Waves in Oceans. I: Self-adjointness, conservation laws, invariant solutions
Nail H. Ibragimov, Ranis N. Ibragimov
The paper is devoted to the group analysis of equations of motion of two-dimensional uniformly stratified rotating fluids used as a basic model in geophysical fluid dynamics. It is…
Self-adjointness of a generalized Camassa-Holm equation
N. H. Ibragimov, R. Khamitova, A. Valenti
It is well known that the Camassa-Holm equation possesses numerous remarkable properties characteristic for KdV type equations. In this paper we show that it shares one more proper…