Results 81 to 90 of about 1,252 (111)
Variational derivation of two-component Camassa-Holm shallow water system
, 2012 By a variational approach in the Lagrangian formalism, we derive the nonlinear integrable two-component Camassa-Holm system (1). We show that the two-component Camassa-Holm system (1) with the plus sign arises as an approximation to the Euler equations ...
Abraham R +6 more
core +1 more source
R-matrix for a geodesic flow associated with a new integrable peakon equation
, 2016 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
On generating functions in additive number theory, II: lower-order terms and applications to PDEs. [PDF]
Math Ann, 2021 Brandes J +4 more
europepmc +1 more source
A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]
Anal Math Phys, 2022 Piorkowski M, Teschl G.
europepmc +1 more source
Dispersive Hydrodynamics of Soliton Condensates for the Korteweg-de Vries Equation. [PDF]
J Nonlinear Sci, 2023 Congy T, El GA, Roberti G, Tovbis A.
europepmc +1 more source
An extension of heat hierarchy [PDF]
, 2017 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
A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces. [PDF]
J Dyn Differ Equ, 2023 Chapouto A.
europepmc +1 more source
Recursion operator for the IGSG equation
, 2006 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
Perturbational blowup solutions to the compressible Euler equations with damping. [PDF]
Springerplus, 2016 Cheung KL.
europepmc +1 more source