| Modified Boussinesq System with Variable Coefficients： Classical Lie Approach and Exact Solutions |
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| 作者单位： | [1]Department of Applied Sciences and Humanities, Institute of Technology and Management, Sector 23-A, Gurgaon, Pin-122017 （Haryana）, India [2]Jaypee University of Information Technology, Waknaghat, P.O. Dumehar Bani, Kandaghat, Distt. Solan, Pin-173215 （H.P.）, India |
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| 摘 要： | The Lie-group formalism is applied to investigate the symmetries of the modified Boussinesq system with variable coefficients. We derived the infinitesimals and the admissible forms of the coefficients that admit the classical symmetry group. The reduced systems of ordinary differential equations deduced from the optimal system of subalgebras are further studied and some exact solutions are obtained.
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| 关 键 词： | 变系数 系统 李群方法 古典 精确解 水波 改性 形式主义 |
Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions |
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| GUPTA R. K SINGH K. Modified Boussinesq System with Variable Coefficients: Classical Lie Approach and Exact Solutions[J]. , 2009, 22(2): 97-110 |
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| Authors: | GUPTA R. K SINGH K |
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| Affiliation: | [1]Department of Applied Sciences and Humanities, Institute of Technology and Management, Sector 23-A, Gurgaon, Pin-122017 (Haryana), India; [2]Jaypee University of Information Technology, Waknaghat, P.O. Dumehar Bani, Kandaghat, Distt. Solan, Pin-173215 (H.P.), India |
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| Abstract: | Lie symmetries nonlinear diffusion exact solutions optimal system reductions global solutions characteristic algebraic system. |
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| Keywords: | Lie symmetries nonlinear diffusion exact solutions optimal system reductions global solutions characteristic algebraic system. |
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