Hyperelliptic function solutions with finite genus ������ of coupled nonlinear differential equations*

DOI10.1080/14029251.2013.810406zbMath1420.35296OpenAlexW2333913066WikidataQ115295519 ScholiaQ115295519MaRDI QIDQ5230893

Bin Lu, Yang Feng, Chao Yang, Shou-Fu Tian, Hong-Qing Zhang

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.810406

zbMATH Keywords

nonlinear differential equationsanalytic solutionshyperelliptic function solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Solitary waves in solid mechanics (74J35) Representations of solutions to partial differential equations (35C99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations
• Soliton scattering with amplitude changes of a negative order AKNS equation
• Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
• Riemann theta functions periodic wave solutions and rational characteristics for the nonlinear equations
• The periodic problem for the Korteweg-de Vries equation
• Hill's operator with finitely many gaps
• The spectrum of Hill's equation
• Complex multiplication formulae for hyperelliptic curves of genus three
• The Camassa-Holm hierarchy, \(N\)-dimensional integrable systems, and algebro-geometric solution on a symplectic submanifold
• The determinant representation of the gauge transformation operators
• Riemann theta functions periodic wave solutions and rational characteristics for the \((1+1)\)-dimensional and \((2+1)\)-dimensional Itô equation
• Quasi–periodic and periodic solutions for coupled nonlinear Schrödinger equations of Manakov type
• Varieties of elliptic solitons
• Hyperelliptic solutions of KdV and KP equations: re-evaluation of Baker's study on hyperelliptic sigma functions
• Lax Pair, Binary Darboux Transformation and New Grammian Solutions of Nonisospectral Kadomtsev–Petviashvili Equation with the Two-Singular-Manifold Method
• On the integrability of a generalized variable-coefficient Kadomtsev–Petviashvili equation
• On a special two-dimensional lattice by Blaszak and Szum: pfaffianization and molecule solutions
• EXACT ONE-PERIODIC AND TWO-PERIODIC WAVE SOLUTIONS TO HIROTA BILINEAR EQUATIONS IN (2+1) DIMENSIONS
• New similarity reductions of the Boussinesq equation
• Formal groups in genus two.
• On Cyclic Trigonal Riemann Surfaces. I
• Periodic solutions of the KdV equation
• Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
• The finite-band solution of the Jaulent–Miodek equation
• Inverse scattering transform for the KPI equation on the background of a one-line soliton*
• Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
• Eigenvectors of the recursion operator and a symmetry structure for the coupled KdV hierarchy
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Symmetries and differential equations

This page was built for publication: Hyperelliptic function solutions with finite genus ������ of coupled nonlinear differential equations*