A Periodic Hexagon Tiling Model and Non-Hermitian Orthogonal Polynomials. [PDF]
Charlier C +3 more
europepmc +1 more source
Quasi-exact solutions for guided modes in two-dimensional materials with tilted Dirac cones. [PDF]
Ng RA, Wild A, Portnoi ME, Hartmann RR.
europepmc +1 more source
On Computation of Darboux Polynomials for Full Toda Lattice
One of the oldest methods for computing invariants of ordinary differential equations is tested using the full Toda lattice model. We show that the standard method of undetermined coefficients and modern symbolic algebra tools together with sufficient computing power allow to compute Darboux invariants without any additional information.
openaire +3 more sources
Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours. [PDF]
Wen XY, Yan Z, Zhang G.
europepmc +1 more source
A transformation between stationary point vortex equilibria. [PDF]
Krishnamurthy VS +3 more
europepmc +1 more source
A Note on Darboux Polynomials of Monomial Derivations
We study a monomial derivation $d$ proposed by J. Moulin Ollagnier and A. Nowicki in the polynomial ring of four variables, and prove that $d$ has no Darboux polynomials if and only if $d$ has a trivial field of constants.
openaire +2 more sources
Direct Products for the Hamiltonian Density Property. [PDF]
Andrist RB, Huang G.
europepmc +1 more source
Legendre polynomial transformation and energy-weighted random forests for sequential data classification. [PDF]
Olaniran OR +5 more
europepmc +1 more source
Impact of Brownian motion on the optical soliton solutions for the three component nonlinear Schrödinger equation. [PDF]
Baber MZ +5 more
europepmc +1 more source
On certain novel numerical and analytical solutions for the pure-cubic Schrödinger equation in optical fibers with Kerr nonlinearity. [PDF]
Tariq KU +3 more
europepmc +1 more source

