The soliton resolution conjecture for the Boussinesq equation

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Cites Work

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Existence and scattering theory for Boussinesq type equations with singular data
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Local and global existence of solutions for the Cauchy problem of a generalized Boussinesq equation
A note on the non-existence of global solutions of initial boundary value problems for the Boussinesq equation \(u_{tt}=3u_{xxxx}+u_{xx}- 12(u^ 2)_{xx}\)
Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
Global existence of small solutions for a generalized Boussinesq equation
The Boussinesq equation revisited
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Long time asymptotic behavior of the focusing nonlinear Schrödinger equation
Soliton resolution for the derivative nonlinear Schrödinger equation
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A Modern Introduction to the Mathematical Theory of Water Waves
Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane
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Inverse Scattering for the Massive Thirring Model
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Jánossy Densities and Darboux Transformations for the Stark and Cylindrical KdV Equations
Boussinesq's equation for water waves: asymptotics in sector I

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