Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV
Advanced Nonlinear StudiesWe consider the Boussinesq equation on the line for a broad class of Schwartz initial data relevant for water waves. In a recent work, we identified ten main sectors describing the asymptotic behavior of the solution, and for each of these sectors we ...
Charlier Christophe, Lenells Jonatan
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On the 3-Wave Equations with Constant Boundary Conditions [PDF]
, 2012 2010 Mathematics Subject Classification: 37K40, 35Q15, 35Q51, 37K15.The inverse scattering transform for a special case of the 3- wave resonant interaction equations with non-vanishing boundary conditions is studied.
Gerdjikov, V. S., Grahovski, G. G.
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On the long-time asymptotics of the modified Camassa–Holm equation with step-like initial data
European Journal of Applied MathematicsWe study the long-time asymptotics for the solution of the modified Camassa–Holm (mCH) equation with step-like initial data. \begin{align*} &m_{t}+\left (m\left (u^{2}-u_{x}^{2}\right )\right )_{x}=0, \quad m=u-u_{xx}, \\[3pt] & {u(x,0)=u_0(x)\to ...
Engui Fan, Gaozhan Li, Yiling Yang
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On The Solution To The Inverse Problem For The Toda Chain
, 1998 . The "elliptic" version of a three-dimensional nonlinear integrable equation, the Toda chain equation, is studied by means of the inverse scattering method.
Javier Villarroel
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A scalar Riemann-Hilbert problem on the torus: applications to the KdV equation. [PDF]
Anal Math Phys, 2022 Piorkowski M, Teschl G.
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Large gap asymptotics for the generating function of the sine point process. [PDF]
Proc Lond Math Soc, 2021 Charlier C.
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The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. [PDF]
Proc Lond Math Soc, 2023 Lee JM, Lenells J.
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A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators
Concrete Operators, 2013 Perälä A., Virtanen J. A., Wolf L.
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Improving life expectancy: how many years behind has the USA fallen? A cross-national comparison among high-income countries from 1958 to 2007. [PDF]
BMJ Open, 2013 Verguet S, Jamison DT.
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Improving the measurement of maternal mortality: the sisterhood method revisited. [PDF]
PLoS One, 2013 Merdad L, Hill K, Graham W.
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