In:
Journal of Mathematical Physics, AIP Publishing, Vol. 53, No. 1 ( 2012-01-01)
Abstract:
In this paper, a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids is investigated. With symbolic computation, such equation is transformed into its bilinear form through a proposed dependent variable transformation with one more parameter than those in the existing literature. N-soliton solutions, Bäcklund transformation, and Lax pair in the explicit forms are constructed. Based on the above results, the characteristic-line method is applied to discuss the features of the solitons for the nonisospectral problem, i.e., the controllable solitonic velocities and widths. Four types of solitonic structures with the different solitonic velocities, widths, amplitudes, and backgrounds are also illustrated.
Type of Medium:
Online Resource
ISSN:
0022-2488
,
1089-7658
Language:
English
Publisher:
AIP Publishing
Publication Date:
2012
detail.hit.zdb_id:
1472481-9
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