Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions

Details Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions

2008-02-09

arxiv.org/abs/0802.1253v1

SIGMA 4 (2008), 018, 29 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2008.018

A list of forty third-order exactly integrable two-field evolutionary systems
is presented. Differential substitutions connecting various systems from the
list are found. It is proved that all the systems can be obtained from only two
of them. Examples of zero curvature representations with $4 \times 4$ matrices
are presented.

Affiliated with

Also associated with

No associations

Rating

Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-402765