ON ANALYTICAL SOLUTIONS OF THE EQUATION utt - cuxx + au + bu3 = 0

Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (7): 707-709.

• Articles • Previous Articles

ON ANALYTICAL SOLUTIONS OF THE EQUATION u_tt - cu_xx + au + bu³ = 0

Wang Mao-hua

Beijing Institute of Aeronautics and Astronautics, Beijing

Received:1985-06-25 Online:1988-07-18 Published:1988-07-18

Abstract

Wang Mao-hua. ON ANALYTICAL SOLUTIONS OF THE EQUATION u_tt - cu_xx + au + bu³ = 0. Applied Mathematics and Mechanics (English Edition), 1988, 9(7): 707-709.

TrendMD

References

Metrics

Comments

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals

[1]	N. HUMNEKAR, D. SRINIVASACHARYA. Influence of variable viscosity and double diffusion on the convective stability of a nanofluid flow in an inclined porous channel [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 563-580.
[2]	Haitao LI, Tianyu ZHENG, Weiyang QIN, Ruilan TIAN, Hu DING, J. C. JI, Liqun CHEN. Theoretical and experimental study of a bi-stable piezoelectric energy harvester under hybrid galloping and band-limited random excitations [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(3): 461-478.
[3]	Haiyang WU, Jiangfeng LOU, Biao ZHANG, Yuntong DAI, Kai LI. Stability analysis of a liquid crystal elastomer self-oscillator under a linear temperature field [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(2): 337-354.
[4]	Chen ZHAO, Zhenli CHEN, C. T. MUTASA, Dong LI. Effects of layer interactions on instantaneous stability of finite Stokes flows [J]. Applied Mathematics and Mechanics (English Edition), 2024, 45(1): 69-84.
[5]	W. WU, M. DANEKER, M. A. JOLLEY, K. T. TURNER, L. LU. Effective data sampling strategies and boundary condition constraints of physics-informed neural networks for identifying material properties in solid mechanics [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1039-1068.
[6]	Zhiping MAO, Xuhui MENG. Physics-informed neural networks with residual/gradient-based adaptive sampling methods for solving partial differential equations with sharp solutions [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1069-1084.
[7]	M. KIM, G. LIN. Peri-Net-Pro: the neural processes with quantified uncertainty for crack patterns [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1085-1100.
[8]	Yichuan HE, Zhicheng WANG, Hui XIANG, Xiaomo JIANG, Dawei TANG. An artificial viscosity augmented physics-informed neural network for incompressible flow [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1101-1110.
[9]	Xuhui MENG. Variational inference in neural functional prior using normalizing flows: application to differential equation and operator learning problems [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1111-1124.
[10]	J. N. FUHG, A. KARMARKAR, T. KADEETHUM, H. YOON, N. BOUKLAS. Deep convolutional Ritz method: parametric PDE surrogates without labeled data [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1151-1174.
[11]	J. WU, S. F. WANG, P. PERDIKARIS. A dive into spectral inference networks: improved algorithms for self-supervised learning of continuous spectral representations [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(7): 1199-1224.
[12]	M. HAMID, M. USMAN, Zhenfu TIAN. Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 669-692.
[13]	A. V. ROŞCA, N. C. ROŞCA, I. POP. Three-dimensional mixed convection stagnation-point flow past a vertical surface with second-order slip velocity [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(4): 641-652.
[14]	Peng WANG, Shaopu YANG, Yongqiang LIU, Pengfei LIU, Xing ZHANG, Yiwei ZHAO. Research on hunting stability and bifurcation characteristics of nonlinear stochastic wheelset system [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 431-446.
[15]	Yueping WANG, Lizhong MU, Ying HE. Thermogram-based estimation of foot arterial blood flow using neural networks [J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(2): 325-344.

ON ANALYTICAL SOLUTIONS OF THE EQUATION u_tt - cu_xx + au + bu³ = 0

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Comments