Results 81 to 90 of about 1,242 (111)
R-matrix for a geodesic flow associated with a new integrable peakon equation
We use the r-matrix formulation to show the integrability of geodesic flow on an $N$-dimensional space with coordinates $q_k$, with $k=1,...,N$, equipped with the co-metric $g^{ij}=e^{-|q_i-q_j|}\big(2-e^{-|q_i-q_j|}\big)$.
Holm, Darryl D., Qiao, Zhijun
core
An extension of heat hierarchy [PDF]
We propose a formally completely integrable extension of heat hierarchy based on the space of symmetries isomorphic to the Weyl algebra $\mathcal{A}_1$. The extended heat hierarchy will be the basic model for the analysis of the extension of KP hierarchy,
Wang, Joe S.
core
On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Brandes J +4 more
europepmc +1 more source
A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]
Piorkowski M, Teschl G.
europepmc +1 more source
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]
Congy T, El GA, Roberti G, Tovbis A.
europepmc +1 more source
Recursion operator for the IGSG equation
In this paper we find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number $n > 2$ of independent variables.
Marvan, M., PoboĊil, M.
core
A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]
Chapouto A.
europepmc +1 more source
Perturbational blowup solutions to the compressible Euler equations with damping. [PDF]
Cheung KL.
europepmc +1 more source
Unconditional deep-water limit of the intermediate long wave equation in low-regularity. [PDF]
Forlano J, Li G, Zhao T.
europepmc +1 more source

