پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 161 |
| تعداد شمارهها | 6,573 |
| تعداد مقالات | 71,037 |
| تعداد مشاهده مقاله | 125,511,403 |
| تعداد دریافت فایل اصل مقاله | 98,773,815 |
Variational formulation for a generalized third order equation | ||
| Journal of Computational Applied Mechanics | ||
| دوره 55، شماره 4، دی 2024، صفحه 711-716 اصل مقاله (190.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2024.379031.1149 | ||
| نویسندگان | ||
| Shao Yabin1؛ JI-Huan He* 1، 2؛ Abdulrahman Ali Alsolami3 | ||
| 1School of Jia Yang, Zhejiang Shuren University, Shaoxing 312028, China | ||
| 2National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou Industrial Park, Suzhou 215123, China | ||
| 3Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia | ||
| چکیده | ||
| A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. A universal formulation is obtained for the construction of a variational principle for a general third-order differential equation, regardless of its self-adjoint condition. Three illustrative examples are provided to demonstrate the convenience and efficacy of the proposed formulation. | ||
| کلیدواژهها | ||
| variational principle؛ semi-inverse method؛ KdV equation | ||
| مراجع | ||
|
[1] Y. El-dib, A heuristic review on the homotopy perturbation method for non-conservative oscillators, 05/07, 2022.
[2] D. Ganji, The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer, Physics letters A, Vol. 355, No. 4-5, pp. 337-341, 2006.
[3] Ζ. Odibat, S. Momani, Application of variational iteration method to nonlinear differential equations of fractional order, International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 7, No. 1, pp. 27-34, 2006.
[4] V. Zolotarev, Inverse spectral problem for a third-order differential operator on a finite interval, Journal of Differential Equations, Vol. 396, pp. 102-146, 2024.
[5] S. Salem, M. El-Sheikh, A. M. HASSAN, On the oscillation and asymptotic behavior of solutions of third order nonlineardifferential equations with mixed nonlinear neutral terms, Turkish Journal of Mathematics, Vol. 48, No. 2, pp. 221-247, 2024.
[6] C. Kenig, G. Ponce, L. Vega, A bilinear estimate with applications to the KdV equation, Journal of the American Mathematical Society, Vol. 9, No. 2, pp. 573-603, 1996.
[7] M. L. Gandarias, M. S. Bruzón, Conservation laws for a class of quasi self-adjoint third order equations, Applied Mathematics and Computation, Vol. 219, No. 2, pp. 668-678, 2012.
[8] J.-H. He, Variational principles for some nonlinear partial differential equations with variable coefficients, Chaos, Solitons & Fractals, Vol. 19, pp. 847-851, 03/01, 2004.
[9] Y.-T. Zuo, VARIATIONAL PRINCIPLE FOR A FRACTAL LUBRICATION PROBLEM, Fractals, 05/23, 2024.
[10] Y. Wu, G.-Q. Feng, Variational principle for an incompressible flow, Thermal Science, Vol. 27, No. 3 Part A, pp. 2039-2047, 2023.
[11] H. Ma, Variational principle for a generalized Rabinowitsch lubrication, Thermal Science, Vol. 27, pp. 71-71, 01/01, 2022.
[12] K.-L. Wang, C.-H. He, A remark on Wang’s fractal variational principle, Fractals, Vol. 27, No. 08, pp. 1950134, 2019.
[13] H.-M. Liu, Generalized variational principles for ion acoustic plasma waves by He's semi-inverse method, Chaos, Solitons & Fractals, Vol. 23, No. 2, pp. 573-576, 2005.
[14] X.-Q. Cao, M.-G. Zhou, S.-H. Xie, Y.-N. Guo, K.-C. Peng, New Variational Principles for Two Kinds of Nonlinear Partial Differential Equation in Shallow Water, Journal of Applied and Computational Mechanics, Vol. 10, No. 2, pp. 406-412, 2024.
[15] A. Biswas, S. Arshed, Application of semi-inverse variational principle to cubic-quartic optical solitons with kerr and power law nonlinearity, Optik, Vol. 172, pp. 847-850, 2018.
[16] C.-H. He, C. Liu, Variational principle for singular waves, Chaos, Solitons & Fractals, Vol. 172, pp. 113566, 07/01, 2023.
[17] C.-H. He, A variational principle for a fractal nano/microelectromechanical (N/MEMS) system, International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33, No. 1, pp. 351-359, 2022.
[18] J.-H. He, C.-H. He, M.-Y. Qian, A. A. Alsolami, Piezoelectric Biosensor based on ultrasensitive MEMS system, Sensors and Actuators A: Physical, Vol. 376, pp. 115664, 2024.
[19] J.-H. He, Q. Yang, C.-H. He, A. A. Alsolami, Pull-down instability of the quadratic nonlinear oscillators, Facta Universitatis, Series: Mechanical Engineering, Vol. 21, No. 2, pp. 191-200, 2023. | ||
|
آمار تعداد مشاهده مقاله: 103 تعداد دریافت فایل اصل مقاله: 89 |
||
سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب