An integrable equation governing short waves in a long-wave model
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Publication:5438861
DOI10.1098/rspa.2007.1861zbMath1129.76010OpenAlexW2118254798MaRDI QIDQ5438861
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Publication date: 8 February 2008
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2007.1861
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)
Related Items (14)
Short wave limit of the Novikov equation and its integrable semi-discretizations ⋮ On the particular solutions of an integrable equation governing short waves in a long-wave model ⋮ Blow-up solutions and peakons to a generalized {\(\mu\)}-Camassa-Holm integrable equation ⋮ Single peaked traveling wave solutions to a generalized \(\mu\)-Novikov equation ⋮ Ill-posedness of the Cauchy problem for the \(\mu\)-Camassa-Holm-type equations ⋮ Well-posedness and the small time large deviations of the stochastic integrable equation governing short-waves in a long-wave model ⋮ Long-time asymptotics of the Hunter-Saxton equation on the line ⋮ Orbital stability of periodic peakons to a generalized \(\mu\)-Camassa-Holm equation ⋮ Stability and convergence of a conservative finite difference scheme for the modified Hunter-Saxton equation ⋮ The Reduced Ostrovsky Equation: Integrability and Breaking ⋮ On spatial discretization of evolutionary differential equations on the periodic domain with a mixed derivative ⋮ Periodic solitons of an equation for short capillary-gravity waves ⋮ On the geophysical Green-Naghdi system ⋮ Existence and singularities of solutions to an integrable equation governing short-waves in a long-wave model
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