| PEAKED WAVE SOLUTIONS TO A GENERALIZED HYPERELASTIC-ROD WAVE EQUATION |
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| 作者姓名： | Xie Shaolong |
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| 作者单位： | Xie Shaolong (Dept. of Math.，Yuxi Normal College，Yuxi 653100，Yunnan) Wang Lin (Dept. of Math.，Kunming Teachers College，Kunming 650031，Yunnan) Rui Weiguo (Dept. of Math.，Honghe University，Mengzi 661100，Yunnan) |
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| 基金项目： | This research was supported by National Natural Science Foundation of China (10571062)，Natural Science Foundation of Yunnan (6Y147A). |
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| 摘 要： | We study peaked wave solutions of a generalized Hyperelastic-rod wave equation describing waves in compressible hyperelastic-rods by using the bifurcation theory of planar dynamical systems and numerical simulation method. The existence domain of the peaked solitary waves are found. The analytic expressions of peaked solitary wave solutions are obtained. Our numerical simulation and qualitative results are identical.
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| 关 键 词： | 孤立尖波解 广义超弹性杆 波动方程 孤波 分歧 |
PEAKED WAVE SOLUTIONS TO A GENERALIZED HYPERELASTIC-ROD WAVE EQUATION |
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| Xie Shaolong.PEAKED WAVE SOLUTIONS TO A GENERALIZED HYPERELASTIC-ROD WAVE EQUATION[J].微分方程年刊(英文版),2007,23(1):96-103. |
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| Authors: | Xie Shaolong Wang Lin Rui Weiguo |
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| Institution: | [1]Dept. of Math., Yuzi Normal College, Yuzi 653100, Yunnan [2]Dept. of Math., Kunming Teachers College, Kunming 650031, Yunnan [3]Dept. of Math., Honghe University, Mengzi 661100, Yunnan |
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| Abstract: | We study peaked wave solutions of a generalized Hyperelastic-rod wave equation describing waves in compressible hyperelastic-rods by using the bifurcation theory of planar dynamical systems and numerical simulation method. The existence domain of the peaked solitary waves are found. The analytic expressions of peaked solitary wave solutions are obtained. Our numerical simulation and qualitative results are identical. |
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| Keywords: | solitary waves bifurcation homoclinic orbit peaked solitary wave |
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