New types of interactions based on variable separation solutions via the general projective Riccati equation method
CQ Dai, JF Zhang - Reviews in Mathematical Physics, 2007 - World Scientific
In this paper, first, the general projective Riccati equation method (PREM) is applied to
derive variable separation solutions of (2+ 1)-dimensional systems. By further studying, we …
derive variable separation solutions of (2+ 1)-dimensional systems. By further studying, we …
Spatiotemporal deformation of multi-soliton to (2+ 1)-dimensional KdV equation
J Liu, G Mu, Z Dai, H Luo - Nonlinear dynamics, 2016 - Springer
This work proposes a three-wave method with a perturbation parameter to obtain exact multi-
soliton solutions of nonlinear evolution equation. The (2+ 1 2+ 1)-dimensional KdV equation …
soliton solutions of nonlinear evolution equation. The (2+ 1 2+ 1)-dimensional KdV equation …
Novel variable separation solutions and exotic localized excitations via the ETM in nonlinear soliton systems
C Dai, J Zhang - Journal of mathematical physics, 2006 - pubs.aip.org
In this paper, first, the ETM is applied to obtain variable separation solutions of (2+ 1)-
dimensional systems. A common formula with some arbitrary functions is derived to describe …
dimensional systems. A common formula with some arbitrary functions is derived to describe …
Novel interactions between semi-foldons of the (2+ 1)-dimensional Boiti–Leon–Pempinelli equation
CQ Dai, YZ Ni - Physica Scripta, 2006 - iopscience.iop.org
In this paper, firstly, the general projective Riccati equation method (PREM) is applied to
derive variable separation solutions of the (2+ 1)-dimensional Boiti–Leon–Pempinelli (BLP) …
derive variable separation solutions of the (2+ 1)-dimensional Boiti–Leon–Pempinelli (BLP) …
Novel types of interactions between solitons in the (2+ 1)-dimensional asymmetric Nizhnik–Novikov–Veselov system
C Dai, F Liu, J Zhang - Chaos, Solitons & Fractals, 2008 - Elsevier
Using the extended tanh-function method (ETM) based on map** method, the variable
separation solutions of the (2+ 1)-dimensional asymmetric Nizhnik–Novikov–Veselov …
separation solutions of the (2+ 1)-dimensional asymmetric Nizhnik–Novikov–Veselov …
Localized structures for (2+ 1)-dimensional Boiti–Leon–Pempinelli equation
G Mu, Z Dai, Z Zhao - Pramana, 2013 - Springer
It is shown that Painlevé integrability of (2+ 1)-dimensional Boiti–Leon–Pempinelli equation
is easy to be verified using the standard Weiss–Tabor–Carnevale (WTC) approach after …
is easy to be verified using the standard Weiss–Tabor–Carnevale (WTC) approach after …
Novel interactions between solitons of the (2+ 1)-dimensional dispersive long wave equation
C Dai, Y Ni - Chaos, Solitons & Fractals, 2008 - Elsevier
In this paper, first, the general projective Riccati equation method is applied to derive
variable separation solutions of the (2+ 1)-dimensional dispersive long wave equation. By …
variable separation solutions of the (2+ 1)-dimensional dispersive long wave equation. By …
Exotic localized structures of the (2+ 1)-dimensional Nizhnik-Novikov-Veselov system obtained via the extended homogeneous balance method
CQ Dai, G Zhou, JF Zhang - Zeitschrift für Naturforschung A, 2006 - degruyter.com
In this paper, we successfully apply the extended homogeneous balance method (EHBM) to
derive a new type of variable separation solutions for the (2+ 1)-dimensional Nizhnik …
derive a new type of variable separation solutions for the (2+ 1)-dimensional Nizhnik …
Integrability and Solutions of the (2+ 1)-Dimensional Broer—Kaup Equation with Variable Coefficients
LH Wang, JS He - Communications in Theoretical Physics, 2012 - iopscience.iop.org
Abstract The integrability of the (2+ 1)-dimensional Broer—Kaup equation with variable
coefficients (VCBK) is verified by finding a transformation map** it to the usual (2+ 1) …
coefficients (VCBK) is verified by finding a transformation map** it to the usual (2+ 1) …
[PDF][PDF] Integrability and Solutions of the (2+ 1)-Dimensional Broer–Kaup Equation with Variable Coefficients
W Lu - ctp.itp.ac.cn
Abstract The integrability of the (2+ 1)-dimensional Broer–Kaup equation with variable
coefficients (VCBK) is verified by finding a transformation map** it to the usual (2+ 1) …
coefficients (VCBK) is verified by finding a transformation map** it to the usual (2+ 1) …