Stability of periodic waves generated by long-wavelength instabilities in isotropic and anisotropic systems

DOI10.1016/S0167-2789(99)00048-2zbMath0941.76033MaRDI QIDQ1809184

Doron E. Bar, Alexander A. Nepomnyashchy

Publication date: 25 November 1999

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

isotropic systemsanisotropic dissipation-modified Korteweg-de Vries equationanisotropic systems\(2+1\)-dimensional amplitude equationsdissipation-modified Kadomtsev-Petviashvili equationlong-wave transverse modulationstability of one-dimensional waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear effects in hydrodynamic stability (76E30) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (7)

A new (3+1)-dimensional Kadomtsev-Petviashvili equation and its integrability, multiple-solitons, breathers and lump waves ⋮ Lipschitz stability of an inverse source problem for ADMB-KdV equation ⋮ The Cauchy problem for the dissipation-modified Kadomtsev-Petviashvili equation ⋮ The ADMB-KdV equation in a time-weighted space ⋮ Cauchy problem for a model of nonlinear waves generated in viscous films ⋮ Solitons in Viscous Flows ⋮ Well-posedness of the ADMB-KdV equation in Sobolev spaces of negative indices

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