Simple Equations Method (SEsM): An Effective Algorithm for Obtaining Exact Solutions of Nonlinear Differential Equations. [PDF]
Vitanov NK.
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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.
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Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]
Congy T, El GA, Roberti G, Tovbis A.
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On the Darboux integrability of the polynomial differential systems
Agraïments: The second author is partially supported by NNSF of China grant 10831003 and Shanghai Pujiang Programm 09PJD013.
Llibre, Jaume, Zhang, Xiang
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Free Field Realisation of the Chiral Universal Centraliser. [PDF]
Beem C, Nair S.
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A Periodic Hexagon Tiling Model and Non-Hermitian Orthogonal Polynomials. [PDF]
Charlier C +3 more
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Quasi-exact solutions for guided modes in two-dimensional materials with tilted Dirac cones. [PDF]
Ng RA, Wild A, Portnoi ME, Hartmann RR.
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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.
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A transformation between stationary point vortex equilibria. [PDF]
Krishnamurthy VS +3 more
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Direct Products for the Hamiltonian Density Property. [PDF]
Andrist RB, Huang G.
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