Bifurcations and exact traveling wave solutions for a class of nonlinear fourth-order partial differential equations

“…by using the theory of bifurcations of planar dynamical systems [7][8][9][10][11]. In [7], integral constant is neglected; it is said that, on the condition integral constant g � 0, the author obtained traveling wave solutions when m, n, c varied.…”

Section: Introductionmentioning

confidence: 99%

Some Smooth and Nonsmooth Traveling Wave Solutions for KP-MEW(2, 2) Equation

Lin

Zhu

2021

Journal of Mathematics

View full text Add to dashboard Cite

show abstract

“…4i, j, respectively. For a = 1.0, φ 0 = −1.5, the profiles of (12) and (13) are shown in Fig. 4k, l, respectively.…”

Section: Remark 1 Completing Integrals (24) (25) (30) Andmentioning

confidence: 99%

“…Hirota bilinear method [3], Jacobi's elliptic function expansion method [4], extended F-expansion method [5], ansatz method [6,7], simplest equation method [8], and bifurcation method of dynamical systems [9][10][11][12][13][14][15].…”

mentioning

confidence: 99%

Explicit kink-like and compacton-like wave solutions for a generalized KdV equation

Meng

2015

Nonlinear Dyn

View full text Add to dashboard Cite

show abstract

“…The digitization of community management depends on the corresponding digital technology, including video recognition and Internet of Things. Accurate, reasonable, and efficient community video recognition technology is conducive to strengthening the government's efficient management of the community and improving the quality of relevant public services in the community [1][2][3]. With the continuous development of video recognition technology, the corresponding traditional mainstream video recognition technology mainly includes video processing, stochastic modeling method, video digital signal processing algorithm, and partial differential equation algorithm [4,5].…”

Section: Introductionmentioning

confidence: 99%

Video Recognition of Government Community Management Cases Based on Partial Differential Equation Method

Sun

2021

Advances in Mathematical Physics

View full text Add to dashboard Cite

With the development of urban economic construction and urban planning, higher requirements are put forward for the government community in the corresponding community management, community service, and other related things. As an important technical means to assist the government and community in management, video recognition technology plays an important role in the accurate management and service of the government and community. Traditional algorithms based on partial differential equations will destroy image edges and image details in video recognition. Based on this, this paper improves the traditional partial differential equation algorithm of image recognition, selects the GAC model based on image segmentation in the main function, and innovatively optimizes the stop function of its equation function, so as to improve the effect of community case image segmentation. In the image smoothing layer, this paper innovatively selects the second derivative based on image processing as the inherent feature of image recognition, so as to solve the rough problem of image edge and improve the processing efficiency of the algorithm. In order to further maintain the details of the relevant images of community cases, this paper integrates the Gaussian curvature driving function on the improved partial differential equation algorithm, so as to protect the details of the smooth region of the relevant recognition video and solve the disadvantages of the traditional algorithm. The experimental results show that the improved partial differential equation algorithm proposed in this paper improves the accuracy of video recognition by about 5% compared with the traditional algorithm. At the same time, the new algorithm can well ensure the detail integrity of the recognized video.

show abstract

Bifurcations and exact traveling wave solutions for a class of nonlinear fourth-order partial differential equations

Cited by 7 publications

References 20 publications

Some Smooth and Nonsmooth Traveling Wave Solutions for KP-MEW(2, 2) Equation

Some Smooth and Nonsmooth Traveling Wave Solutions for KP-MEW(2, 2) Equation

Explicit kink-like and compacton-like wave solutions for a generalized KdV equation

Video Recognition of Government Community Management Cases Based on Partial Differential Equation Method

Contact Info

Product

Resources

About