| 具耗散项的对称正则长波方程的显式精确解 |
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| 引用本文： | 王可升.具耗散项的对称正则长波方程的显式精确解[J].西安石油大学学报(自然科学版),2002,17(5):83-85. |
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| 作者姓名： | 王可升 |
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| 作者单位： | 西安石油学院信息科学系,陕西西安,710065 |
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| 摘 要： | ~~其中 :l =-γv ,m =1 + C1- v2v2 ,n =12 v,C =C2v2 ,而 C1,C2 为积分常数 .假设式 ( 7)有解u(ξ) =∑ni=0AiΦi =∑ni=0Ai(Φ (ξ) ) i,Φξ =a( 1 -Φ2 ) ,a≠ 0 , ( 8)如果函数 1 ,v,… ,vn( n∈ N)线性无关 ,由主导阶分析 ,可选取u(ξ) =A0 + A1Φ + A2 Φ2 , ( 9)将式 ( 9)代入式 ( 7) ,得到 A0 ,A1,A2 ,a的一组代数方程6A2 a2 + n A2 2 =02 A1A2 n + 2 A1a2 - 2 A2 al =0( 2 A0 A2 + A12 ) n + m A2 - la A1- 8A2 a2 =0m A1+ 2 A0 A1n + 2 A2 al - 2 A1a2 =02 A2 a2 + l A1a + m A0 + n A0 2 =C . ( 1 0 )为了求得…
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| 关 键 词： | ~~ |
| 文章编号： | 1001-5361(2002)05-0083-03 |
| 修稿时间： | 2001年12月28 |
Explicit and Exact Solutions of the Symmetric Regularized Long Wave Equation with Dissipative Term |
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| WANG Ke,sheng.Explicit and Exact Solutions of the Symmetric Regularized Long Wave Equation with Dissipative Term[J].Journal of Xian Shiyou University,2002,17(5):83-85. |
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| Authors: | WANG Ke sheng |
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| Abstract: | Some explicit and exact traveling wave solutions of a class of symmetric regularized long wave equations with dissipative term are obtained by a kind of combination of direct method with ansatze method. These solutions include solitary wave solutions, singular traveling wave solutions. The corresponding solutions to the damped Boussinesq equation and the generalized Fisher equation are obtained as a corollary. |
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| Keywords: | nonlinear evolution equation direction method ansatze method exact solution solitary wave solution |
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