Quasi-periodic solutions of mixed AKNS equations

DOI10.1016/j.na.2010.07.047zbMath1200.35016OpenAlexW2019539732MaRDI QIDQ708708

Bo Xue, Xiangguo Geng

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.07.047

zbMATH Keywords

quasi-periodic solutionsAbel-Jacobi coordinatesmixed AKNS equations

Mathematics Subject Classification ID

Almost and pseudo-almost periodic solutions to PDEs (35B15)

Related Items (18)

Algebro-geometric integration of a modified shallow wave hierarchy ⋮ A hierarchy of long wave-short wave type equations: quasi-periodic behavior of solutions and their representation ⋮ Trigonal curves and algebro-geometric solutions to soliton hierarchies I ⋮ Algebro-geometric solutions of the Harry Dym hierarchy ⋮ \((2+1)\)-dimensional AKNS \((-N)\) systems. II ⋮ Algebro-geometric solutions of the TD hierarchy ⋮ Algebro-geometric constructions of the Heisenberg hierarchy ⋮ Long-time asymptotics of a three-component coupled nonlinear Schrödinger system ⋮ The coupled Sasa–Satsuma hierarchy: Trigonal curve and finite genus solutions ⋮ A hierarchy of generalized Jaulent–Miodek equations and their explicit solutions ⋮ Algebro-geometric constructions of a hierarchy of integrable semi-discrete equations ⋮ Explicit quasi-periodic solutions of the Vakhnenko equation ⋮ Quasi-periodic solutions of the Heisenberg hierarchy ⋮ Algebro-geometric constructions of the Wadati-Konno-Ichikawa flows and applications ⋮ Quasi-Periodic Solutions of Coupled KDV Type Equations ⋮ An alternative approach to solve the mixed AKNS equations ⋮ The quasi-periodic solutions of mixed KdV equations ⋮ Quasiperiodic solutions of Jaulent-Miodek equations with a negative flow

Cites Work

• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Potentials with zero coefficient of reflection on a background of finite- zone potentials
• Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
• A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy
• Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions
• Nonlinear-Evolution Equations of Physical Significance
• Mixed hierarchy of soliton equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach
• An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy
• GENERALIZED r-MATRIX STRUCTURE AND ALGEBRO-GEOMETRIC SOLUTION FOR INTEGRABLE SYSTEM
• Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
• Quasi-periodic solutions of the modified Kadomtsev-Petviashvili equation
• 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
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