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· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 계산
· ISBN : 9780367541125
· 쪽수 : 508쪽
· 출판일 : 2024-01-31
목차
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 Schrodinger 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 Schrodinger equation. B3. Bilinearization of nonlinear integrable evolution equations: Recursion operator approach. B4. Rogue wave patterns and modulational instability in nonlinear Schrodinger hierarchy. B5. Algebro-geometric solutions to the modified Blaszak-Marciniak lattice hierarchy. B6. Long-time asymptotic behavior of the modified Schrodinger equation via θ-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.