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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...
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 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 ...
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...
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...
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...
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-...

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