4 problems

Consider a third-order scalar evolutionary differential equation of the form … A conservation law has a weight as defined by the differential-system and characteristic-cohomology f…

Let $N$ be the dimension of the WDVV system, let $S_L$ denote its linear subsystem, and let $S_{lambda amu b}$ denote the remaining equations indexed by $2<\lambda<\mu\leq N$ and…

Let $S_L$ be the subsystem of WDVV equations that is linear in the $t^p$-free derivatives, and let the remaining equations be the corresponding equations not included in $S_L$. Pas…

Backlund reduction-diagram conjecture. Reducing $\mathcal{I}$ by $\Gamma_{G_1}$, $\Gamma_{G_2}$, and $\Gamma_H$ should produce a commutative diagram of Pfaffian systems with quotie…