Found 25 Documents (Results 1–25)
The negative and positive integrable coupling hierarchies derived from a four by four matrix spectral problem. (English) Zbl 1246.37092
Integrable coupling systems of Hamiltonian lattice equations by semi-direct sums of Lie algebras. (English) Zbl 1247.37077
Reviewer: Bixiang Wang (Socorro)
Some new integrable nonlinear evolution equations and their infinitely many conservation laws. (English) Zbl 1206.37041
Reviewer: Rakib Efendiev (Baku)
MSC:
37K40
Variable separation and algebraic-geometric solutions of modified Toda lattice equation. (English) Zbl 1201.37098
Reviewer: Hu Chuangan (Cupertino)
Integrability and superintegrability of Toda symplectic map with multiple eigenparameters. (English) Zbl 1196.37105
Riemann theta functions solutions with rational characteristics for \((2+1)\)-dimensional sinh-Gordon equation. (English) Zbl 1186.37085
A hierarchy of Hamiltonian equations associated with the modified Jaulent-Miodek hierarchy. (English) Zbl 1186.37075
Positon, negaton, soliton and complexiton solutions to a four-dimensional nonlinear evolution equation. (English) Zbl 1179.37100
Two super-integrable systems and associated super-Hamiltonian structures. (English) Zbl 1189.37072
Reviewer: Gheorghe Zet (Iaşi)
A family of discrete integrable coupling systems and its Liouville integrability. (English) Zbl 1230.37088
Darboux transformation and various solutions for a nonlinear evolution equation in \((3+1)\)-dimensions. (English) Zbl 1175.35132
Integrable Hamiltonian systems related to the AKNS system with matrix potentials. (English) Zbl 1173.35701
MSC:
35Q58
37J05
A new integrable lattice hierarchy and its two discrete integrable couplings. (English) Zbl 1159.82313
A kind of explicit quasi-periodic solution and its limit for the Toda lattice equation. (English) Zbl 1151.82320
A new hierarchy of discrete integrable model and its Darboux transformation. (English) Zbl 1175.37073
Reviewer: Hu Chuangan (San Jose)
A hierarchy of discrete integrable system and its coupled enlarged integrable system. (English) Zbl 1178.37098
Reviewer: Rakib Efendiev (Baku)
Darboux transformation and soliton solutions for generalized WKI equations. (English) Zbl 1141.35456
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