Modeling nonlinear resonance: A modification to the Stokes' perturbation expansion
From MaRDI portal
Publication:1093445
DOI10.1016/0165-2125(88)90008-XzbMath0628.76023MaRDI QIDQ1093445
Publication date: 1988
Published in: Wave Motion (Search for Journal in Brave)
Korteweg-de Vries equationsmall denominatorfifth degree dispersion termnonlinear, steadily translating wavessmall amplitude perturbation expansionStokes' series
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Basic methods in fluid mechanics (76M99)
Related Items
Numerical methods for the solution of the third- and fifth-order dispersive Korteweg-de Vries equations, Stability of Periodic Traveling Wave Solutions to the Kawahara Equation, Why Newton's method is hard for travelling waves: small denominators, KAM theory, Arnold's linear Fourier problem, non-uniqueness, constraints and erratic failure, The instability of Wilton ripples, Traveling wave solutions of the Kawahara equation joining distinct periodic waves, The spectrum of finite depth water waves, Periodic traveling interfacial hydroelastic waves with or without mass, High-Frequency Instabilities of the Kawahara Equation: A Perturbative Approach, Microbreaking and polycnoidal waves in the Ostrovsky-Hunter equation, Spectral Stability of Deep Two‐Dimensional Gravity‐Capillary Water Waves, A linearized implicit pseudo-spectral method for certain non-linear water wave equations, Propagation of long nonlinear waves in a ponderable fluid beneath an ice sheet, The Blasius Function in the Complex Plane, Periodic travelling interfacial hydroelastic waves with or without mass II: Multiple bifurcations and ripples, Wilton ripples in weakly nonlinear dispersive models of water waves: existence and analyticity of solution branches, Wilton ripples in weakly nonlinear models of water waves: existence and computation, A HAM-based analytic approach for physical models with an infinite number of singularities, Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation, Double cnoidal waves of the Korteweg-de Vries equation: A boundary value approach, A degree-increasing [\(N\)~to~\(N+1\) homotopy for Chebyshev and Fourier spectral methods]
Cites Work
