On the integrability and Riemann theta functions periodic wave solutions of the Benjamin Ono equation
type: Item
instance of: scholarly article
title: On the integrability and Riemann theta functions periodic wave solutions of the Benjamin Ono equation
zbMATH Open document ID: 1398.37075
author: Chunmei Fang
author: Shou-Fu Tian
author: Yang Feng
author: Jin-Hua Dai
published in: Nonlinear Dynamics
publication date: 2018-10-23T00:00:00Z
Mathematics Subject Classification ID: 37K35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 6962364
zbMATH Keywords: Benjamin Ono equation
zbMATH Keywords: Bell's polynomials
zbMATH Keywords: Bäcklund transformation
zbMATH Keywords: Lax pair
zbMATH Keywords: periodic wave solution
MaRDI profile type: Publication
full work available at URL: s11071-018-4052-1
OpenAlex ID: W2790431524
cites work: Symmetries and differential equations
cites work: Q4273954
cites work: Q4002235
cites work: Q4828547
cites work: An integrable symmetric (2+1)-dimensional Lotka–Volterra equation and a family of its solutions
cites work: Q3995225
cites work: A direct method of calculating periodic wave solutions to nonlinear evolution equations. II. Exact one- and two-periodic wave solution of the coupled bilinear equations
cites work: The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
cites work: EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
cites work: Direct search for exact solutions to the nonlinear Schrödinger equation
cites work: A new general algebraic method with symbolic computation to construct new doubly-periodic solutions of the \((2 + 1\))-dimensional dispersive long wave equation
cites work: Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
cites work: Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
cites work: On the Integrability of a Generalized Variable‐Coefficient Forced Korteweg‐de Vries Equation in Fluids
cites work: Exponential polynomials
cites work: On symmetry-preserving difference scheme to a generalized Benjamin equation and third-order Burgers equation
cites work: Lie symmetries and nonlocally related systems of the continuous and discrete dispersive long waves system by geometric approach
cites work: Bäcklund transformation, infinite conservation laws and periodic wave solutions of a generalized (3+1)-dimensional nonlinear wave in liquid with gas bubbles
cites work: The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation
cites work: The interaction processes of the \(N\)-soliton solutions for an extended generalization of Vakhnenko equation
cites work: The JEFE method and periodic solutions of two kinds of nonlinear wave equations
cites work: New periodic solitary-wave solutions for the Benjiamin Ono equation
DOI: 10.1007/S11071-018-4052-1
description: scientific article; zbMATH DE number 6962364