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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Long-time asymptotics of soliton equations via the nonlinear steepest descent method
非线性 最速下降法 孤立子方程 长时间渐近性
2023/11/13
Based on the matrix block technique, the Deift-Zhou nonlinear steepest descent method is developed in order to study the asymptotic analysis of solutions of some nonlinear evolution equations associat...
Geometric transformations and soliton equations
Differential Geometry (math.DG) Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/11
We give a survey of the following six closely related topics: (i) a general method for constructing a soliton hierarchy from a splitting of a loop algebra into positive and negative subalgebras, toget...
THE INTEGRABILITY AND PARAMETRIC REPRESENTATION OF A HIERARCHY OF SOLITON EQUATIONS
Soliton equation Hamiltonian
2007/12/10
The parametric representation for finite-band solutions of a stationary soliton equation is discussed. This parametric representation can be represented as a Hamiltonian system which is integrable in ...
A Hierarchy of Integrable Lattice Soliton Equations and New
Integrable Symplectic Map
lattice soliton equation discrete Hamiltonian structure integrable symplectic map
2007/8/15
2006Vol.45No.3pp.405-410DOI:
A Hierarchy of Integrable Lattice Soliton Equations and New
Integrable Symplectic Map
SUN Ye-Peng,1 CHEN Deng-Yuan,1 and XU Xi-Xiang2
1 Depa...
New Weierstrass Semi-rational Expansion Method to Doubly Periodic Solutions of Soliton Equations
soliton equations
Weierstrass elliptic function doubly periodic solution symbolic computation
2007/8/15
2005Vol.43No.3pp.391-396DOI:
New Weierstrass Semi-rational Expansion Method to Doubly Periodic Solutions of Soliton Equations
YAN Zhen-Ya
Key Laboratory of Mathematics M...
Multi-component SC Lax Integrable Hierarchy of Soliton Equations and Its
Multi-component Integrable Coupling System with Two Arbitrary Functions
loop algebra multi-component SC hierarchy multi-component integrable couplings
system
2007/8/15
2004Vol.42No.6pp.807-810DOI:
Multi-component SC Lax Integrable Hierarchy of Soliton Equations and Its
Multi-component Integrable Coupling System with Two Arbitrary Functions
XIA T...
Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System
C-KdV hierarchy integrable coupling loop algebra
2007/8/15
2004Vol.42No.4pp.494-496DOI:
Multi-component C-KdV Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System
XIA Tie-Cheng,1,2 YU Fa-Jun,1,2 and CHEN Deng-...