237 citations · 264 across the 6 of their papers we have counts for
7 papers
Classification of traveling wave solutions of the modified Zakharov--Kuznetsov equation
A. J. Pan-Collantes, C. Muriel, A. Ruiz
The -structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov--Ku…
Integration of differential equations by -structures
A. J. Pan-Collantes, C. Muriel, A. Ruiz
Several integrability problems of differential equations are addressed by using the concept of -structure, a recent generalization of the notion of solvable s…
-structures in the integration of involutive distributions
A. J. Pan-Collantes, C. Muriel, A. Ruiz +1
For a system of ordinary differential equations (ODEs) or, more generally, an involutive distribution of vector fields, the problem of its integration is considered. Among the many…
-symmetries of distributions and integrability
A. J. Pan-Collantes, A. Ruiz, C. Muriel +1
An extension of the notion of solvable structure for involutive distributions of vector fields is introduced. The new structures are based on a generalization of the concept of sym…
Symmetries and integrability by quadratures
C. Muriel, J. L. Romero, A. Ruiz
It is investigated how two (standard or generalized) symmetries of a given second-order ordinary differential equation can be used to solve the equation by quadratures. The met…
Solvable Structures Associated to the Nonsolvable Symmetry Algebra
Adrián Ruiz, Concepción Muriel
Third-order ordinary differential equations with Lie symmetry algebras isomorphic to the nonsolvable algebra admit solvable structures. These solvable…
Boundary K-Matrices for the Six Vertex and the n(2n-1) A_{n-1} Vertex Models
H. J. de Vega, A. González Ruiz
Boundary conditions compatible with integrability are obtained for two dimensional models by solving the factorizability equations for the reflection matrices . For the…