OALib Journal期刊
ISSN: 2333-9721
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广义BBM方程的紧与非紧结构
, PP. 170-173
Keywords: 非线性方程,紧孤子,孤立子,周期解
Abstract:
使用微分方程降阶法去研究一类广义BBM方程,得到了方程包括紧孤子、孤立子、孤立波、周期解、代数行波解在内的精确解,同时指出了导致解物理结构变化的主要参数.
References
[1] | Saut J C, Tzetkov N. Global well-posedness for the KP-BBM equations[J]. Appl Math Res Express,2004,1:1-6.
|
[2] | 赖绍永. 一类高阶波动方程解的渐近理论[J]. 四川师范大学学报:自然科学版,2000,23(1):7-9.
|
[3] | 赖绍永,严勇. 非线性电报方程的整体渐近解[J]. 四川师范大学学报:自然科学版,2004,27(5):446-450.
|
[4] | Dinda P, Remoissenet M. Breather compactons in nonlinear Klein-Gordon systems[J]. Phys Rev,1999,E60(5):6218-6221.
|
[5] | Rosenau P, Hyman J M. Compactons: solitons with finite wavelenths[J]. Phys Rev Lett,1993,70(5):564-567.
|
[6] | Wadati M. Introduction to solitons, Pramana[J]. J Phys,2001,57(5/6):841-847.
|
[7] | Wadati M. The exact solutions of the modified Kortweg-de Vries equation[J]. Phys Soc Jpn,1972,32:1681-1687.
|
[8] | Malfliet W, Hereman W. The tanh method: I exact solutions of nonlinear evolution and wave equations[J]. Phys Scr,1996,54:563-568.
|
[9] | Malfliet W, Hereman W. The tanh method: perturbation technique for conservative systems[J]. Phys Scr,1996,54:569-575.
|
[10] | Fan E G, Zhang H Q. New exact solutions for a system of coupled KdV equation[J]. Phys Lett,1998,A245:389-392.
|
[11] | Fan E G, Zhang H Q. A note on the homogeneous balance method[J]. Phys Lett,1998,A246:403-406.
|
[12] | Rosenau P. On nonanalytic solitary waves formed by a nonlinear dispersion[J]. Phys Lett,1997,A230(5/6):305-318.
|
[13] | 陈光淦,蒲志林,罗宏. 一种变异的Lyapunov第二方法在脉冲微分方程中的应用[J]. 四川师范大学学报:自然科学版,2006,29(1):16-18.
|
[14] | 舒级,张健. 具阻尼的Gross-Pitaevskii方程在二维空间中的坍塌性质[J]. 四川师范大学学报:自然科学版,2001,24(6):557-559.
|
[15] | Benjamin T B, Bona J L, Mahony J J. Model equation for long waves in nonlinear dispersive system[J]. Philos Trans Royal Soc London,1972,A272:47-48.
|
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