相关期刊:《Communications in Nonlinear Science and Numerical Simulation》《Communications in Theoretical Physics》《Chinese Physics B》《Chinese Physics Letters》更多>>
the National Natural Science Foundation of China(Grant Nos.11371086,11671258,and 11975145);the Fund of Science and Technology Commission of Shanghai Municipality(Grant No.13ZR1400100)。
The method of variable separation has always been regarded as a crucial method for solving nonlinear evolution equations.In this paper,we use a new form of variable separation to study novel soliton molecules and thei...
Project supported by the Natural Science Foundation of Zhejiang Province of China (Grant Nos. Y6100257, Y6110140, and Y6090681);the Natural Science Foundation of Zhejiang Lishui University, China (Grant Nos. KZ09005 and KY08003)
By improved projective equation approach and a linear variable separation approach, a new family of exact solutions of the (2+1)-dimensional Boiti-Leon-Pempinelli (BLP) system is derived. Based on the derived sol...
supported by National Natural Science Foundation of China under Grant No.10272071;the Natural Science Foundation of Zhejiang Province under Grant No.Y606049
Using the mapping approach via the projective Riccati equations, several types of variable separated solutions of the (2+1)-dimensional Nizhnik-Novikov-Veselov equation are obtained, including multiple-soliton solu...
The project supported by the Natural Science Foundation of Zhejiang Province under Grant No.Y604106;the Natural Science Foundation of Zhejiang Lishui University under Grant No.KZ05010
By means of an extended mapping approach and a linear variable separation approach,a new family ofexact solutions of the general (2+1)-dimensional Korteweg de Vries system (GKdV) are derived.Based on the derivedsolita...
The project supported by National Natural Science Foundation of China under Grant Nos. 90403008 and 10434060, and the State Key Major Research and Development Program of China
We investigate the nonlinear localized structures of optical pulses propagating in a one-dimensional photonic crystal with a quadratic nonlinearity. Using a method of multiple scales we show that the nonlinear evolut...
Supported by the National 0utstanding Youth Foundation of China under No 19925522, the National Natural Science Foundation of China under Nos 90203001 and 10575087, and the Natural Science Foundation of Zhejiang Province of China under Grant No 102053.
Many sets of the soliton and periodic travelling wave solutions for the quadratic χ^(2) nonlinear system are obtained by the Backlund transformation and the trial method. The property of the propagation for some tr...
By means of the standard truncated Painlevé expansion and a special B?cklund transformation, the higher-dimensional coupled Burgers system (HDCB) is reduced to a linear equation, and an exact multisoliton excitation ...
Starting from the variable separation solution obtained by using the extended homogenous balance method,a new class of combined structures, such as multi-peakon and multi-dromion solution, multi-compacton and multidro...
Starting from the known variable separation excitations of a(2 + 1)-dimensional generalized Ablowitz-Kaup-Newell-Segur system,rich coherent structures can be derived.The interactions among different types of solitary ...