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Some exact solutions to the inhomogeneous higher-order nonlinear Schrodinger equation by a direct method 下载免费PDF全文
By symbolic computation and a direct method, this paper presents some exact analytical solutions of the one-dimensional generalized inhomogeneous higher-order nonlinear Schrodinger equation with variable coefficients, which include bright solitons, dark solitons, combined solitary wave solutions, dromions, dispersion-managed solitons, etc. The abundant structure of these solutions are shown by some interesting figures with computer simulation. 相似文献
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By Lie symmetry method, the Lie point symmetries and its Kac Moody-Virasoro (KMV) symmetry algebra of (2+1)-dimensional dispersive long-wave equation (DLWE) are obtained, and the finite transformation of DLWE is given by symmetry group direct method, which can recover Lie point symmetries. Then KMV symmetry algebra of DLWE with arbitrary order invariant is also obtained. On basis of this algebra the group invariant solutions and similarity reductions are also derived. 相似文献
3.
Some exact solutions to the inhomogeneous higher-order nonlinear Schrdinger equation by a direct method 下载免费PDF全文
By symbolic computation and a direct method, this paper
presents some exact analytical solutions of the one-dimensional
generalized inhomogeneous higher-order nonlinear Schr?dinger
equation with variable coefficients, which include bright solitons,
dark solitons, combined solitary wave solutions, dromions,
dispersion-managed solitons, etc. The abundant structure of these
solutions are shown by some interesting figures with computer
simulation. 相似文献
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5.
Three types of generalized Kadomtsev-Petviashvili equations arising from baroclinic
potential vorticity equation 下载免费PDF全文
By means of the reductive perturbation method, three types
of generalized (2+1)-dimensional Kadomtsev--Petviashvili (KP)
equations are derived from the baroclinic potential vorticity (BPV)
equation, including the modified KP (mKP) equation, standard KP equation
and cylindrical KP (cKP) equation. Then some solutions of
generalized cKP and KP equations with certain conditions are given
directly and a relationship between the generalized mKP equation and
the mKP equation is established by the symmetry group direct method
proposed by Lou et al. From the relationship and the solutions
of the mKP equation, some solutions of the generalized mKP equation can be
obtained. Furthermore, some approximate solutions of the baroclinic
potential vorticity equation are derived from three types of
generalized KP equations. 相似文献
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