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| (2+1)维色散长波方程新的类孤子解 | |
| 引用本文： | 洪宝剑,方国昌,卢殿臣,顾建军.(2+1)维色散长波方程新的类孤子解[J].数学的实践与认识,2009,39(1). |
| 作者姓名： | 洪宝剑 方国昌 卢殿臣 顾建军 |
| 作者单位： | 1. 南京工程学院基础部,江苏,南京,210013 2. 盐城工学院基础教学部,江苏,盐城,210016 3. 江苏大学理学院,江苏,镇江,212013 4. 常熟理工学院,数学系,江苏,常熟,215500 |
| 基金项目： | 南京工程学院科研基金 |
| 摘 要： | 通过一个简单的变换,将(2+1)维色散长波方程简化为人们熟知的带强迫项Burgers方程,借助Mathematica软件,利用齐次平衡原则和变系数投影Riccati方程法,求出了(2+1)维色散长波方程新的精确解. |
| 关 键 词： | (2+1)维色散长波方程 投影Riccati方程法 精确解 类孤子解 |
New Soliton-like Solutions to the(2+1)-dimensional Dispersive Long Wave Equations |
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| HONG Bao-jian,FANG Guo-chang,LU Dian-ehen,GU Jian-jun.New Soliton-like Solutions to the(2+1)-dimensional Dispersive Long Wave Equations[J].Mathematics in Practice and Theory,2009,39(1). | |
| Authors: | HONG Bao-jian FANG Guo-chang LU Dian-ehen GU Jian-jun |
| Abstract: | (2+1)-dimensional dispersive long wave equations are reduce to Burgers equations as we acquaintance with forcing terms after a simple transformation.Using Mathematica software,homogeneous balance principle and projective Riccati equations method,new exact solutions of these equations are obtained. |
| Keywords: | (2+1)-dimensional dispersive long wave equations projective Riccati equations Method exact solutions soliton-like solutions |
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