8 citations · 33 across the 17 of their papers we have counts for
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math-ph2009★ 6 cited
Integrable Systems of Partial Differential Equations Determined by Structure Equations and Lax pair
Paul Bracken
It is shown how a system of evolution equations can be developed both from the structure equations of a submanifold embedded in three-space as well as from a matrix SO(6) Lax pair.…
math-ph2009
Exterior Differential Systems, Prolongations and the Integrability of Two Nonlinear Partial Differential Equations
Paul Bracken
A generalized KdV equation is formulated as an exterior differential system, which is used to determine the prolongation structure of the equation. The prolongation structure is ob…
math-ph2009
The interrelationship of integrable equations, differential geometry and the geometry of their associated surfaces
Paul Bracken
A survey of some recent and important results which have to do with integrable equations and their relationship with the theory of surfaces is given. Some new results are also pres…