| 一类三阶非线性偏微分方程的孤立波 |
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| 引用本文： | 谢绍龙,王林.一类三阶非线性偏微分方程的孤立波[J].江西师范大学学报(自然科学版),2006,30(4):311-314. |
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| 作者姓名： | 谢绍龙 王林 |
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| 作者单位： | 1. 玉溪师范学院,数学系,云南,玉溪,653100
2. 昆明师范高等专科学校,数学系,云南,昆明,650031 |
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| 摘 要： | 用微分方程定性理论结合数值模拟方法研究了一类三阶非线性波动方程的孤立波,给出了孤立波的存在条件,求出了孤立波的解,得到了孤立波的平面模拟图.数值模拟进一步验证了理论分析结果.
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| 关 键 词： | 非线性偏微分方程 同宿轨 孤立波 |
| 文章编号： | 1000-5862（2006）04-0311-04 |
| 收稿时间： | 2006-12-05 |
| 修稿时间： | 2006-12-05 |
Solitary Waves of a Cubic Nonlinear Partial Differential Equation |
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| XIE Shao-long,WANG Lin.Solitary Waves of a Cubic Nonlinear Partial Differential Equation[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2006,30(4):311-314. |
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| Authors: | XIE Shao-long WANG Lin |
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| Abstract: | The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the solitary waves of a nonlinear cubic wave equation.The parameter conditions that the solitary waves appear are found,and their solutions are obtained.The planar graphs of the traveling wave equation are simulated.The numerical simulation and qualitative results are identical. |
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| Keywords: | nonlinear partial differential equation homoclinic orbit solitary waves |
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