J4 ›› 2015, Vol. 32 ›› Issue (4): 425-430.
• 量子物理 • 上一篇 下一篇
靳玲花, 庞晶
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基金资助:
国家自然科学基金(11071159)、内蒙古高等学校研究重点项目(NJZZ14053)、河套学院科学技术研究项目、自然科学青年项目(HYZQ201406)
JIN Linghua, PANG Jing
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摘要:
为适应包括变系数方程在内的非线性发展方程求解的需要,文章试图探求辅助方程的多样化和解的形式的更为一般化,我们对王明亮教授提出的(G′/G )- 展开法进行了更有意义的推广。为验证此推广的有效性,我们首先将它应用到常系数变形Boussinesq方程组II 中,最终取得了多组精确行波解。实践证明:此推广具有很好的适用性。
关键词: 非线性发展方程,精确解,推广的G'/G展开法,变形Boussinesq方程组II
Abstract:
In order to meet the need of solving nonlinear evolution equations include the equation with variable coefficients, we attempts to explore diversity of the auxiliary equation and the form of solution for more general.So We are more meaningful to the (G′/G ) -expansion method proposed by Professor of Wang Mingliang,In order to verify the validity of this promotion, we will use it to the deformation Boussinesq equations II of constant coefficient. Finally, we achieved many kinds of exact travelling wave solutions. Practice has proved: this promotion has good applicability .
Key words: nonlinear evolution equations, exact solutions, generalized G'/G expansion method, variant Boussinesq equations
靳玲花 庞晶. 变形Boussinesq方程组II的推广解[J]. J4, 2015, 32(4): 425-430.
JIN Linghua, PANG Jing. Generalized Solution of Variant Boussinesq Equations[J]. J4, 2015, 32(4): 425-430.
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