Exact and numerical solutions of coupled short pulse equation with time-dependent coefficients

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• 作者：R. K. Gupta (1)
  Vikas Kumar (2)
  Ram Jiwari (3)
  
  1. School of Mathematics and Computer Applications ; Thapar University ; Patiala ; 147004 ; Punjab ; India
  2. Department of Mathematics ; D.A.V. College Pundari ; Kaithal ; 136026 ; Haryana ; India
  3. Department of Mathematics ; Indian Institute of Technology ; Roorkee ; Roorkee ; 247667 ; India
  
• 关键词：CSP equation ; Lie symmetry analysis ; Exact solutions ; Numerical solutions
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：79
• 期：1
• 页码：455-464
• 全文大小：820 KB
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• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

Using the Lie symmetry approach, the authors have examined exact and numerical solutions of coupled short pulse equation with time-dependent coefficients. The method reduces the system of partial differential equations to a system of ordinary differential equations according to the Lie symmetry admitted. In particular, we found the relevant system of ordinary differential equations for all optimal subgroups. The system of ordinary differential equations is further studied in general to obtain exact and numerical solutions. Several new physically important families of exact and numerical solutions are derived.