Shock-like Waves with Finite Amplitudes

سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 31

فایل این مقاله در 7 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_JCAM-55-1_001

تاریخ نمایه سازی: 26 بهمن 1402

چکیده مقاله:

The tidal wave in the Qiantang River, Hangzhou City, China is quite different from that of the KdV equation, it is a shock-like wave with a finite amplitude. This phenomenon has mathematicians adjusting their solitary wave models on how such waves behave. This paper applies the variational theory to insight into the energy behavior of the tidal wave, which can be modeled by the Benny-Luke equation, and the exp-function method is used to figure out the solution structure. This paper provides a new window for designing energy-harvesting devices from the shock-like waves.

نویسندگان

Guojuan Lv

School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China.

Dan Tian

School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China.

Min Xiao

School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, P. R. China.

Chun-Hui He

School of Mathematics, China University of Mining and Technology, Xuzhou ۲۲۱۱۱۶, Jiangsu, P. R. China.

JI-Huan He

School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China.

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • Y. Li, D.-Z. Pan, H. Chanson, C.-H. Pan, Real-time characteristics ...
  • H. Wu, J. Song, Q. Zhu, Consistent Riccati expansion solvability ...
  • S. Deng, Z. Deng, Approximate analytical solutions of generalized fractional ...
  • J. Cui, D. Li, T.-F. Zhang, Symmetry reduction and exact ...
  • R. I. Ivanov, On the modelling of short and intermediate ...
  • D. Benney, J. Luke, On the interactions of permanent waves ...
  • J. Akter, M. Ali Akbar, Exact solutions to the Benney–Luke ...
  • S. M. R. Islam, Applications of the exp(-Φ(ξ))-Expansion Method to ...
  • A. K. M. K. S. Hossain, P. M. A. Akbar, ...
  • U. Khan, R. Ellahi, R. A. Khan, S. T. Mohyud-Din, ...
  • T. Houria, A. Yildirim, T. Hayat, O. Aldossary, A. Biswas, ...
  • B. Ghanbari, M. Inc, A. Yusuf, D. Baleanu, New solitary ...
  • M. Ablowitz, C. Curtis, On the evolution of perturbations to ...
  • J.-H. He, Variational principles for some nonlinear partial differential equations ...
  • J.-H. He, X.-H. Wu, Exp-function method for nonlinear wave equations, ...
  • H. Ma, SIMPLIFIED HAMILTONIAN-BASED FREQUENCY-AMPLITUDE FORMULATION FOR NONLINEAR VIBRATION SYSTEMS, ...
  • X. Li, D. Wang, T. Saeed, Multi-scale numerical approach to ...
  • H. Ma, Variational principle for a generalized Rabinowitsch lubrication, Thermal ...
  • S.-Q. Wang, A variational approach to nonlinear two-point boundary value ...
  • S. A. Faghidian, A. Tounsi, DYNAMIC CHARACTERISTICS OF MIXTURE UNIFIED ...
  • C.-H. He, C. Liu, Variational principle for singular waves, Chaos, ...
  • C. Miehe, S. Mauthe, H. Ulmer, Formulation and numerical exploitation ...
  • P.-H. Kuo, T.-L. Tu, Y.-W. Chen, W.-Y. Jywe, H.-T. Yau, ...
  • P.-H. Kuo, Y.-W. Chen, T. H. Hsieh, W. Jywe, H.-T. ...
  • A. Biswas, D. Milovic, D. S. Kumar, A. Yildirim, Perturbation ...
  • J. Lu, L. Ma, Numerical analysis of space-time fractional Benjamin-Bona-Mahony ...
  • Variational principle for the Kaup-Newell system [مقاله ژورنالی]
  • X.-Q. Cao, B.-N. Liu, M.-Z. Liu, K.-C. Peng, W.-L. Tian, ...
  • Q. Ma, R. Yuan, C. Wang, Variational method to fractal ...
  • J. Sun, Variational principle for fractal high-order long water-wave equation, ...
  • A. Bekir, Ö. Güner, A. Bhrawy, A. Biswas, Solving nonlinear ...
  • M. Dehghan, J. Manafian, A. Saadatmandi, Application of the Exp-function ...
  • A. Biswas, M. Ekici, A. Sonmezoglu, M. Belić, Highly dispersive ...
  • S. T. Mohyud‐Din, Y. Khan, N. Faraz, A. Yıldırım, Exp‐function ...
  • Z. Hadas, V. Vetiska, V. Singule, O. Andrs, J. Kovar, ...
  • M.-U. Noll, L. Lentz, U. von Wagner, On the discretization ...
  • نمایش کامل مراجع