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PEAKED WAVE SOLUTIONS TO A GENERALIZED HYPERELASTIC-ROD WAVE EQUATION

PEAKED WAVE SOLUTIONS TO A GENERALIZED HYPERELASTIC-ROD WAVE EQUATION
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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. 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.
出处 《Annals of Differential Equations》 2007年第1期96-103,共8页 微分方程年刊(英文版)
基金 This research was supported by National Natural Science Foundation of China (10571062) Natural Science Foundation of Yunnan (6Y147A).
关键词 solitary waves BIFURCATION homoclinic orbit peaked solitary wave solitary waves, bifurcation, homoclinic orbit, peaked solitary wave
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