Abstract This paper discusses the two-dimensional discrete monatomic Fermi--Pasta--Ulam lattice, by using the method of multiple-scale and the quasi-discreteness approach. By taking into account the interaction between the atoms in the lattice and their nearest neighbours, it obtains some classes of two-dimensional local models as follows: two-dimensional bright and dark discrete soliton trains, two-dimensional bright and dark line discrete breathers, and two-dimensional bright and dark discrete breather.
Received: 29 March 2008
Revised: 23 June 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 10574011) and Natural
Science Foundation of Heilongjiang Province, China (Grant No
A200506).
Cite this article:
Xu Quan(徐权) and Tian Qiang(田强) On some classes of two-dimensional local models in discrete two-dimensional monatomic FPU lattice with cubic and quartic potential 2009 Chin. Phys. B 18 259
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