Two-dimensional amplitude evolution equations for nonlinear dispersive waves on thin films
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Publication:1115697
DOI10.1016/0167-2789(89)90238-8zbMath0664.76036OpenAlexW2026287896MaRDI QIDQ1115697
Publication date: 1989
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(89)90238-8
free surfaceKorteweg-de Vries equationscalingsobliquely-interacting soliton solutionsthin film flowingtwo-dimensional long waves
Lubrication theory (76D08) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (20)
Symmetry properties and solutions of nonlinear dispersive thin-film equations in three dimensions ⋮ Wave regimes on a nonisothermal film of a viscous liquid flowing down a vertical plane ⋮ On Kato's smoothing effect for a fractional version of the Zakharov-Kuznetsov equation ⋮ Higher dimensional generalization of the Benjamin‐Ono equation: 2D case ⋮ Mock-integrability and stable solitary vortices ⋮ Boundary layer collapses described by the two-dimensional intermediate long-wave equation ⋮ Conservative finite difference schemes for the generalized Zakharov-Kuznetsov equations ⋮ On the ZK equation with a directional dissipation ⋮ Numerical study of the transverse stability of line solitons of the Zakharov-Kuznetsov equations ⋮ Instability of Solitons in the 2d Cubic Zakharov-Kuznetsov Equation ⋮ Stability and instability of some nonlinear dispersive solitary waves in higher dimension ⋮ Asymptotic Behavior for a Class of Solutions to the Critical Modified Zakharov-Kuznetsov Equation ⋮ Analysis of a Nonlinear Diffusive Amplitude Equation for Waves on Thin Films ⋮ Numerical study of Zakharov-Kuznetsov equations in two dimensions ⋮ On instability of solitons in the 2d cubic Zakharov-Kuznetsov equation ⋮ Surface waves on viscous magnetic fluid flow down an inclined plane ⋮ Spatial wave regimes on a surface of thin viscous liquid film ⋮ Cylindrical quasi-solitons of the Zakharov-Kuznetsov equation ⋮ A conservative spectral method for several two-dimensional nonlinear wave equations ⋮ Cylindrical solitary pulses in a two-dimensional stabilized Kuramoto-Sivashinsky system
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