70 citations · 944 across the 99 of their papers we have counts for
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A family of wave-breaking equations generalizing the Camassa-Holm and Novikov equations
Stephen C. Anco, Priscila Leal da Silva, Igor Leite Freire
A 4-parameter polynomial family of equations generalizing the Camassa-Holm and Novikov equations that describe breaking waves is introduced. A classification of low-order conservat…
Integrable Systems with Unitary Invariance from Non-stretching Geometric Curve Flows in the Hermitian Symmetric Space Sp(n)/U(n)
Stephen C. Anco, Esmaeel Asadi, Asieh Dogonchi
A moving parallel frame method is applied to geometric non-stretching curve flows in the Hermitian symmetric space Sp(n)/U(n) to derive new integrable systems with unitary invarian…
Integrable systems from inelastic curve flows in 2- and 3- dimensional Minkowski space
Kvilcim Alkan, Stephen C. Anco
Integrable systems are derived from inelastic flows of timelike, spacelike, and null curves in 2- and 3- dimensional Minkowski space. The derivation uses a Lorentzian version of a…
Unitarily-invariant integrable systems and geometric curve flows in and
Ahmed M. G. Ahmed, Stephen C. Anco, Esmaeel Asadi
Bi-Hamiltonian hierarchies of soliton equations are derived from geometric non-stretching (inelastic) curve flows in the Hermitian symmetric spaces and …
Symmetries and conservation laws of the generalized Krichever-Novikov equation
Stephen C. Anco, Elena D. Avdonina, Aliya Gainetdinova +3
A computational classification of contact symmetries and higher-order local symmetries that do not commute with , as well as local conserved densities that are not invariant u…
Oscillatory solitons of U(1)-invariant mKdV equations II: Asymptotic behavior and constants of motion
Stephen C. Anco, Abdus Sattar Mia, Mark R. Willoughby
The Hirota equation and the Sasa-Satsuma equation are U(1)-invariant integrable generalizations of the modified Korteweg-de Vries equation. These two generalizations admit oscillat…