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- Wen-Xiu Ma, Zuo-Nong Zhu
- Applied Mathematics and Computation
- 2012

The multiple exp-function algorithm, as a generalization of Hirota’s perturbation scheme, is used to construct multiple wave solutions to the (3+1)dimensional generalized KP and BKP equations. The resulting solutions involve generic phase shifts and wave frequencies containing many existing choices. It is also pointed out that the presented phase shifts for… (More)

- Wen-Xiu Ma, Zuo-Nong Zhu
- Computers & Mathematics with Applications
- 2010

Beginning with Lax pairs from special non-semisimple matrix Lie algebras, we establish a scheme for constructing nonlinear discrete integrable couplings. Discrete variational identities over the associated loop algebras are used to build Hamiltonian structures for the resulting integrable couplings. We illustrate the application of the scheme by means of an… (More)

- Li-Yuan Ma, Zuo-Nong Zhu
- Appl. Math. Lett.
- 2016

- Zuo-Nong Zhu
- 2003

In this article, several 2+1 dimensional lattice hierarchies proposed by Blaszak and Szum [J. Math. Phys. 42, 225(2001)] are further investigated. We first describe their discrete zero curvature representations. Then, by means of solving the corresponding discrete spectral equation, we demonstrate the existence of infinitely many conservation laws for them… (More)

- Zuo-Nong Zhu
- 2003

In this article, by means of considering an isospectral operator equation which corresponds to the Volterra lattice, and constructing opportune time evolution problems with negative powers of spectral parameter, and using discrete zero curvature representation, negative Volterra flows are proposed. We also propose the mixed Volterra flows, which come from… (More)

- Li-Yuan Ma, Zuo-Nong Zhu
- Physical review. E, Statistical, nonlinear, and…
- 2014

In this paper, we investigate nonintegrable semidiscrete Hirota equations, including the nonintegrable semidiscrete Hirota(-) equation and the nonintegrable semidiscrete Hirota(+) equation. We focus on the topics on gauge-equivalent structures and dynamical behaviors for the two nonintegrable semidiscrete equations. By using the concept of the prescribed… (More)

- Li-Yuan Ma, Zuo-Nong Zhu
- Applied Mathematics and Computation
- 2017

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