Nonlinear Systems and Their Remarkable Mathematical Structures
Volume 3, Contributions from China
Herausgeber: Euler, Norbert; Zhang, Da-Jun
Nonlinear Systems and Their Remarkable Mathematical Structures
Volume 3, Contributions from China
Herausgeber: Euler, Norbert; Zhang, Da-Jun
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The third volume consists of a collection of contributions by world-leading experts in the subject of nonlinear DE and nonlinear dynamical systems (both continuous and discrete), but in this instance only featuring contributions by leading Chinese scientists who also work in China.
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The third volume consists of a collection of contributions by world-leading experts in the subject of nonlinear DE and nonlinear dynamical systems (both continuous and discrete), but in this instance only featuring contributions by leading Chinese scientists who also work in China.
Produktdetails
- Produktdetails
- Verlag: Taylor & Francis Ltd (Sales)
- Seitenzahl: 508
- Erscheinungstermin: 31. Januar 2024
- Englisch
- Abmessung: 254mm x 178mm x 26mm
- Gewicht: 875g
- ISBN-13: 9780367541125
- ISBN-10: 0367541122
- Artikelnr.: 68714790
- Verlag: Taylor & Francis Ltd (Sales)
- Seitenzahl: 508
- Erscheinungstermin: 31. Januar 2024
- Englisch
- Abmessung: 254mm x 178mm x 26mm
- Gewicht: 875g
- ISBN-13: 9780367541125
- ISBN-10: 0367541122
- Artikelnr.: 68714790
Norbert Euler is currently a visiting professor at the International Center of Sciences A.C. (Cuernavaca, Mexico). He has been teaching a wide variety of mathematics courses at both the undergraduate and postgraduate level at several universities worldwide for more than 25 years. He is an active researcher and has to date published over 80 peer reviewed research articles in the subject of nonlinear systems and is a co-author of several books. He is also involved in editorial work for some international journals. Da-jun Zhang is currently a full professor at Shanghai University in China. His research focuses on integrability of discrete and continuous nonlinear systems, and particularly, discrete integrable systems. He has published over 120 peer reviewed research articles in the subject of integrable systems. He has served as scientific committee member for some international conferences. He is also involved in editorial work for some international journals
Part A: Integrability and Symmetries. A1. The BKP hierarchy and the
modified BKP hierarchy. A2. Elementary introduction to the direct
linearisation of integrable systems. A3. Discrete Boussinesq-type
equations. A4. The study of integrable hierarchies in terms of Liouville
correspondences. A5. Darboux transformations for supersymmetric integrable
systems: A brief review. A6. Nonlocal symmetries of nonlinear integrable
systems. A7. High-order soliton matrix for an extended nonlinear
Schrödinger equation. A8. Darboux transformation for integrable systems
with symmetries. A9. Frobenius manifolds and Orbit spaces of reflection
groups and their extensions. Part B: Algebraic, Analytic and Geometric
Methods. B1. On finite Toda type lattices and multipeakons of the
Camassa-Holm type equations. B2. Long-time asymptotics for the generalized
coupled derivative nonlinear Schrödinger equation. B3. Bilinearization of
nonlinear integrable evolution equations: Recursion operator approach. B4.
Rogue wave patterns and modulational instability in nonlinear Schrödinger
hierarchy. B5. Algebro-geometric solutions to the modified
Blaszak-Marciniak lattice hierarchy. B6. Long-time asymptotic behavior of
the modified Schrödinger equation via ¿-steepest descent method. B7. Two
hierarchies of multiple solitons and soliton molecules of (2+1)-dimensional
Sawada-Kotera type equation. B8. Dressing the boundary: exact solutions of
soliton equations on the half-line. B9. From integrable spatial discrete
hierarchy to integrable nonlinear PDE hierarchy.
modified BKP hierarchy. A2. Elementary introduction to the direct
linearisation of integrable systems. A3. Discrete Boussinesq-type
equations. A4. The study of integrable hierarchies in terms of Liouville
correspondences. A5. Darboux transformations for supersymmetric integrable
systems: A brief review. A6. Nonlocal symmetries of nonlinear integrable
systems. A7. High-order soliton matrix for an extended nonlinear
Schrödinger equation. A8. Darboux transformation for integrable systems
with symmetries. A9. Frobenius manifolds and Orbit spaces of reflection
groups and their extensions. Part B: Algebraic, Analytic and Geometric
Methods. B1. On finite Toda type lattices and multipeakons of the
Camassa-Holm type equations. B2. Long-time asymptotics for the generalized
coupled derivative nonlinear Schrödinger equation. B3. Bilinearization of
nonlinear integrable evolution equations: Recursion operator approach. B4.
Rogue wave patterns and modulational instability in nonlinear Schrödinger
hierarchy. B5. Algebro-geometric solutions to the modified
Blaszak-Marciniak lattice hierarchy. B6. Long-time asymptotic behavior of
the modified Schrödinger equation via ¿-steepest descent method. B7. Two
hierarchies of multiple solitons and soliton molecules of (2+1)-dimensional
Sawada-Kotera type equation. B8. Dressing the boundary: exact solutions of
soliton equations on the half-line. B9. From integrable spatial discrete
hierarchy to integrable nonlinear PDE hierarchy.
Part A: Integrability and Symmetries. A1. The BKP hierarchy and the
modified BKP hierarchy. A2. Elementary introduction to the direct
linearisation of integrable systems. A3. Discrete Boussinesq-type
equations. A4. The study of integrable hierarchies in terms of Liouville
correspondences. A5. Darboux transformations for supersymmetric integrable
systems: A brief review. A6. Nonlocal symmetries of nonlinear integrable
systems. A7. High-order soliton matrix for an extended nonlinear
Schrödinger equation. A8. Darboux transformation for integrable systems
with symmetries. A9. Frobenius manifolds and Orbit spaces of reflection
groups and their extensions. Part B: Algebraic, Analytic and Geometric
Methods. B1. On finite Toda type lattices and multipeakons of the
Camassa-Holm type equations. B2. Long-time asymptotics for the generalized
coupled derivative nonlinear Schrödinger equation. B3. Bilinearization of
nonlinear integrable evolution equations: Recursion operator approach. B4.
Rogue wave patterns and modulational instability in nonlinear Schrödinger
hierarchy. B5. Algebro-geometric solutions to the modified
Blaszak-Marciniak lattice hierarchy. B6. Long-time asymptotic behavior of
the modified Schrödinger equation via ¿-steepest descent method. B7. Two
hierarchies of multiple solitons and soliton molecules of (2+1)-dimensional
Sawada-Kotera type equation. B8. Dressing the boundary: exact solutions of
soliton equations on the half-line. B9. From integrable spatial discrete
hierarchy to integrable nonlinear PDE hierarchy.
modified BKP hierarchy. A2. Elementary introduction to the direct
linearisation of integrable systems. A3. Discrete Boussinesq-type
equations. A4. The study of integrable hierarchies in terms of Liouville
correspondences. A5. Darboux transformations for supersymmetric integrable
systems: A brief review. A6. Nonlocal symmetries of nonlinear integrable
systems. A7. High-order soliton matrix for an extended nonlinear
Schrödinger equation. A8. Darboux transformation for integrable systems
with symmetries. A9. Frobenius manifolds and Orbit spaces of reflection
groups and their extensions. Part B: Algebraic, Analytic and Geometric
Methods. B1. On finite Toda type lattices and multipeakons of the
Camassa-Holm type equations. B2. Long-time asymptotics for the generalized
coupled derivative nonlinear Schrödinger equation. B3. Bilinearization of
nonlinear integrable evolution equations: Recursion operator approach. B4.
Rogue wave patterns and modulational instability in nonlinear Schrödinger
hierarchy. B5. Algebro-geometric solutions to the modified
Blaszak-Marciniak lattice hierarchy. B6. Long-time asymptotic behavior of
the modified Schrödinger equation via ¿-steepest descent method. B7. Two
hierarchies of multiple solitons and soliton molecules of (2+1)-dimensional
Sawada-Kotera type equation. B8. Dressing the boundary: exact solutions of
soliton equations on the half-line. B9. From integrable spatial discrete
hierarchy to integrable nonlinear PDE hierarchy.