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Differential-difference equations associated with the fractional Lax operators
Lax pair discretization Bogoyavlensky lattice Sawada Kotera equation Kaup Kupershmidt equation
2011/9/30
Abstract: We study integrable hierarchies associated with spectral problems of the form $P\psi=\lambda Q\psi$ where $P,Q$ are difference operators. The corresponding nonlinear differential-difference ...
On Non-point Invertible Transformations of Difference and Differential-difference Equations
Exactly Solvable and Integrable Systems (nlin.SI)
2010/11/10
Non-point invertible transformations are completely described for difference equations on the quad-graph and for their differential-difference analogues. As an illustration, these transformations are ...
Clarkson-Kruskal Direct Similarity Approach for
Differential-Difference Equations
differential-difference KZ equation
differential-difference KP equation direct method similarity reduction
2007/8/15
2005Vol.44No.6pp.964-966DOI:
Clarkson-Kruskal Direct Similarity Approach for
Differential-Difference Equations
SHEN Shou-Feng
Department of Mathematics, Zhejiang Univers...
Applications of Jacobi Elliptic Function Expansion Method for
Nonlinear Differential-Difference Equations
nonlinear differential-difference equation Jacobi elliptic
function periodic wave solution
2007/8/15
2005Vol.43No.3pp.385-388DOI:
Applications of Jacobi Elliptic Function Expansion Method for
Nonlinear Differential-Difference Equations
XU Gui-Qiong1 and LI Zhi-Bin2
1 D...
Lie Point Symmetries of Differential-Difference Equations
Lie point symmetry
differential-difference equation Kac-Moody-Virasoro algebra
2007/8/15
2004Vol.41No.5pp.645-648DOI:
Lie Point Symmetries of Differential-Difference Equations
DING Wei1 and TANG
Xiao-Yan2,3
1 Department of Applied Mathematics, Shanghai Jiao...
Multi-component Generalizations of Four Integrable Differential-difference Equations: Soliton Solutions and Bilinear Backlund Transformations
Soliton Solutions Bilinear Backlund Transformations
2012/7/31
Bilinear approach is applied to derive integrable multi-component generalizations of the socalled 1+1 dimensional special Toda lattice, the Volterra lattice, a simple di甧rential-di甧rence equation foun...