## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Foundations of Data Science
- Inverse Problems & Imaging
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

DCDS-S

A general formulation of zero curvature connections
in a principle bundle is presented and some applications are
discussed. It is proved that a related connection based on a
prolongation in an associated
bundle remains zero curvature as well. It is also shown that
the connection coefficients can be defined so that the
partial differential equation to be studied appears as
the curvature term
in the structure equations. It is discussed how
Lax pairs and Bäcklund tranformations
can be formulated for such equations that occur
as zero curvature terms.

CPAA

Partial differential systems which have
applications to water waves will be formulated as
exterior differential systems. A prolongation structure
is determined for each of the equations. The formalism
for studying prolongations is reviewed and the
prolongation equations are solved for each equation.
One of these
differential systems includes the Camassa-Holm and
Degasperis-Procesi equations as special cases.
The formulation of conservation laws for each
of the systems introduced is discussed
and a single example for each is given.
It is shown how a Bäcklund transformation
for the last case can be obtained using
the prolongation results.

## Year of publication

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