On nonanalytic solitary waves formed by a nonlinear dispersion.
From MaRDI portal
Publication:1968314
DOI10.1016/S0375-9601(97)00241-7zbMath1052.35511MaRDI QIDQ1968314
Publication date: 7 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Related Items (only showing first 100 items - show all)
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 ⋮ Nilpotent singular points and compactons ⋮ New compacton solutions and solitary wave solutions of fully nonlinear generalized Camassa--Holm equations ⋮ Kink compactons in models with parametrized periodic double-well and asymmetric substrate potentials ⋮ Variants of the generalized fifth-order KdV equation with compact and noncompact structures ⋮ An improved algebra method and its applications in nonlinear wave equations ⋮ On the nonlinear perturbation \(K(n, m)\) Rosenau-Hyman equation: a model of nonlinear scattering wave ⋮ Two classes of variants of the generalized KdV equations with compact and noncompact solutions ⋮ Bifurcation analysis of travelling wave solutions in the nonlinear Klein-Gordon model with anharmonic coupling ⋮ Bifurcation of travelling wave solutions in a nonlinear variant of the RLW equation ⋮ A numerical study of adding an artificial dissipation term for solving the nonlinear dispersive equations \(K(n,n)\) ⋮ New compact and noncompact structures of the nonlinearly dispersive Boussinesq equations ⋮ Existence of solitary waves and periodic waves for a perturbed generalized BBM equation ⋮ Symmetry analysis and conservation laws for the class of time-fractional nonlinear dispersive equation ⋮ Smooth and non-smooth travelling wave solutions of generalized Degasperis-Procesi equation ⋮ Computations of soliton solutions and periodic solutions for the focusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher-dimensional spaces ⋮ Traveling wave solutions of a generalized Camassa-Holm equation: a dynamical system approach ⋮ The bifurcation and peakon for \(K(2, 2)\) equation with osmosis dispersion ⋮ Exact solutions to a nonlinear dispersive model with variable coefficients ⋮ Numerical solitons of generalized Korteweg-de Vries equations ⋮ Exact solitary and periodic-wave solutions of the \(K(2,2)\) equation (defocusing branch) ⋮ New exact explicit peakon and smooth periodic wave solutions of the \(K(3,2)\) equation ⋮ Existence of periodic waves for a perturbed quintic BBM equation ⋮ New compacton solutions of an extended Rosenau-Pikovsky equation ⋮ Compacton solutions and nonlinear dispersion. ⋮ A Legendre-pseudospectral method for computing travelling waves with corners (slope discontinuities) in one space dimension with application to Whitham's equation family ⋮ New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations ⋮ Bifurcations of travelling wave solutions in a nonlinear dispersive equation ⋮ 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 ⋮ On some applications of transformation groups to a class of nonlinear dispersive equations ⋮ Dissipative perturbations for the \(K(n, n)\) Rosenau-Hyman equation ⋮ Symmetry analysis for a class of nonlinear dispersive equations ⋮ 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. ⋮ Exact traveling wave solutions of explicit type, implicit type, and parametric type for \(K(m, n)\) equation ⋮ Decomposition of a hierarchy of nonlinear evolution equations ⋮ Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive \(mK(m,n)\) equations ⋮ New families of solitons with compact support for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion. ⋮ New families of exact solitary patterns solutions for the nonlinearly dispersive \(R(m,n)\) equa\-tions. ⋮ The \(K(m, n)\) equation with generalized evolution term studied by symmetry reductions and qualitative analysis ⋮ Distinct variants of the KdV equation with compact and noncompact structures. ⋮ Compactons structures for specific nonlinear dispersive equations. ⋮ New exact solutions for modified nonlinear dispersive equations \(mK(m,n)\) in higher dimensions spaces. ⋮ Compact structures for variants of the generalized KdV and the generalized KP equations. ⋮ Compactons in a class of nonlinearly quintic equations ⋮ Existence and construction of compacton solutions ⋮ Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions ⋮ Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation ⋮ New compact and noncompact solutions of the \(K(k,n)\) equations ⋮ Travelling wave solutions in a class of generalized Korteweg-de Vries equation ⋮ On exact travelling wave solutions for two types of nonlinear \(K(n,n)\) equations and a generalized KP equation ⋮ Multi-compacton and double symmetric peakon for generalized Ostrovsky equation ⋮ Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion ⋮ Exact explicit peakon and periodic cusp wave solutions for several nonlinear wave equations ⋮ New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations ⋮ On certain exact solutions of a generalized KdV-Burgers type equation via isovector method. I ⋮ Bifurcation studies on travelling wave solutions for an integrable nonlinear wave equation ⋮ On certain exact solutions of a generalized KdV-Burgers type equation via symmetry approach. II ⋮ Compactons, solitons and periodic solutions for variants of the KdV and the KP equations ⋮ Bifurcations of smooth and non-smooth travelling wave solutions in the generalized Camassa-Holm equation ⋮ Explicit and exact special solutions for BBM-like \(B(m,n)\) equations with fully nonlinear dispersion ⋮ Nonlinear variants of KdV and KP equations with compactons, solitons and periodic solutions ⋮ Nonlocal and nonlinear dispersion in a nonlinear Schrödinger-type equation: exotic solitons and short-wavelength instabilities ⋮ Compact and noncompact solutions for nonlinear dispersive variants of the generalized KdV equation ⋮ 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 ⋮ Exact special solutions with solitary patterns for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion ⋮ Smooth and non-smooth travelling waves in a nonlinearly dispersive Boussinesq equation ⋮ Stability of multi-compacton solutions and Bäcklund transformation in \(K(m,n,1)\) ⋮ New compacton soliton solutions and solitary patterns solutions of nonlinearly dispersive Boussinesq equations ⋮ New exact solution profiles of the nonlinear dispersion Drinfel'd-Sokolov \((D(m, n))\) system ⋮ New peakon and multi-compacton solitary wave solutions of fully nonlinear sine-Gordon equa\-tion ⋮ Exact solitary-wave solutions with compact support for the modified KdV equation ⋮ Compactons and Riemann waves of an extended modified Korteweg-de Vries equation with nonlinear dispersion ⋮ Compact and noncompact dispersive patterns ⋮ On a class of nonlinear dispersive-dissipative interactions ⋮ On a model equation of traveling and stationary compactons ⋮ Compacton solutions of the Korteweg-de Vries equation with constrained nonlinear dispersion ⋮ Periodic and solitary-wave solutions for a variant of the \(K(3,2)\) equation ⋮ On a fermionic extension of \(K(-1,-2)\) equation ⋮ Traveling wave solutions for a class of nonlinear dispersive equations ⋮ 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 ⋮ Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method ⋮ New exact solitary-wave special solutions for the nonlinear dispersive \(K(m,n)\) equations ⋮ Exact special solitary solutions with compact support for the nonlinear dispersive \(K\)(\(m\), \(n\)) equations ⋮ 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
This page was built for publication: On nonanalytic solitary waves formed by a nonlinear dispersion.