Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
From MaRDI portal
Publication:1808318
DOI10.1016/S0167-2789(98)00113-4zbMath0952.76008arXivphysics/0003077OpenAlexW3103965575MaRDI QIDQ1808318
Publication date: 6 December 1999
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/physics/0003077
solitonsHamiltonian systemnonlinear oscillationcompactonscnoidal waveslocalized patternsliquid dropideal incompressible liquidbounded free surfacefinite-difference differential generalized Korteweg-de Vries equationtraveling non-axially symmetric shapes
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Solitary waves for incompressible inviscid fluids (76B25)
Related Items
General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations \(mK(n,n)\) in higher dimensional spaces, An analytic study of compactons structures in a class of nonlinear dispersive equations, On the nonlinear perturbation \(K(n, m)\) Rosenau-Hyman equation: a model of nonlinear scattering wave, A numerical study of adding an artificial dissipation term for solving the nonlinear dispersive equations \(K(n,n)\), The tanh and the sine-cosine methods for the complex modified KdV and the generalized KdV equations, Computations of soliton solutions and periodic solutions for the focusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher-dimensional spaces, Special types of the nonlinear dispersive Zakharov–Kuznetsov equation with compactons, solitons, and periodic solutions, The formally variable separation approach for the modified Zakharov--Kuznetsov equation, Adiabatic soliton management: controlling solitary wave motion while keeping the wave envelope unchanged, Compactons and kink-like solutions of BBM-like equations by means of factorization, Nonlinear dispersive ZK\((n,n)\) equations: new compacton solutions and solitary pattern solutions, Compacton solutions and nonlinear dispersion., The effect of the order of nonlinear dispersive equation on the compact and noncompact solutions, Compactons and solitary patterns structures for variants of the KdV and the KP equations, Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation, Compactons in a class of nonlinear dispersive equations., Compacton solutions of the Kawahara-type nonlinear dispersive equation., Compact and noncompact structures formed by nonlinear equations with positive and negative exponents., A study on compacton-like solutions for the modified KdV and fifth order KdV-like equations., Compacton solutions of higher order nonlinear dispersive KdV-like equations., Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive \(mK(m,n)\) equations, An analytic study of compacton solutions for variants of Kuramoto-Sivashinsky equation., Symmetry multi-reduction method for partial differential equations with conservation laws, New exact solutions for modified nonlinear dispersive equations \(mK(m,n)\) in higher dimensions spaces., Existence and construction of compacton solutions, New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations, Self-similar radiation from numerical Rosenau-Hyman compactons, On exact travelling wave solutions for two types of nonlinear \(K(n,n)\) equations and a generalized KP equation, Exact solutions with solitary patterns for the Zakharov-Kuznetsov equations with fully nonlinear dispersion, The tanh method and the sine–cosine method for solving the KP-MEW equation, New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations, Thermodynamics and cosmological constant of non-local field theories from \(p\)-adic strings, Energy transfer in a dispersion-managed Korteweg-de Vries system, Rotating hollow patterns in fluids, Compactons, solitons and periodic solutions for variants of the KdV and the KP equations, Nonlinear dispersive special type of the Zakharov--Kuznetsov equation ZK(\(n\),\(n\)) with compact and noncompact structures, Explicit and exact special solutions for BBM-like \(B(m,n)\) equations with fully nonlinear dispersion, Variants of the two-dimensional Boussinesq equation with compactons, solitons, and periodic solutions, Nonlinear variants of the improved Boussinesq equation with compact and noncompact struc\-tures, Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions, Nonlinear variants of the BBM equation with compact and noncompact physical structures, Effect of nonlinearity of the middle term of nonlinear dispersive equations on physical structures, On Weierstrass elliptic function solutions for a \((N+1)\) dimensional potential KdV equation, Variants of the generalized KdV equation with compact and noncompact structures, New solitary wave solutions with compact support for the KdV-like \(K\)(\(m\), \(n\)) equations with fully nonlinear dispersion, New types of nonlinear waves and bifurcation phenomena in Schamel-Korteweg-de Vries equation, New compactons, solitons and periodic solutions for nonlinear variants of the KdV and the KP equations, A reliable treatment of the physical structure for the nonlinear equation \(K(m,n)\), New compact and noncompact solutions for two variants of a modified Camassa-Holm equation, New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations, A class of nonlinear fourth order variant of a generalized Camassa-Holm equation with compact and noncompact solutions, Compacton equations and integrability: the Rosenau-Hyman and Cooper-Shepard-Sodano equations, Exact solutions for the ZK-MEW equation by using the tanh and sine–cosine methods, Analytic study on the one and two spatial dimensional potential KdV equations, Nonlinear waves and solitons in physical systems, The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants, Generalized Boussinesq type of equations with compactons, solitons and periodic solutions, The tanh and the sine-cosine methods for compact and noncompact solutions of the nonlinear Klein-Gordon equation, Exact and explicit travelling wave solutions for the nonlinear Drinfeld--Sokolov system, A variety of exact wave solutions with distinct physical structures for the Boussinesq system, Compact and noncompact physical structures for the ZK-BBM equation, NONLOCAL SYMMETRIES, COMPACTON EQUATIONS, AND INTEGRABILITY, Compactons structures for fifth-order KdV like equations in higher dimensions, Solitary patterns solutions having infinite slopes or cusps for fifth-order KdV like equations in higher dimensions, Compact and noncompact structures for a variant of KdV equation in higher dimensions, General compactons solutions for the focusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher-dimensional spaces, General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher dimensional spaces, Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation, A study on nonlinear dispersive partial differential equations of compact and noncompact solutions, A construction of compact and noncompact solutions for nonlinear dispersive equations of even order, Compact and noncompact structures in a class of nonlinearly dispersive equations, Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
Cites Work
