Intrusion Detection for Cyber-Physical Security System Using Long Short-Term Memory Model

In the present context, the deep learning approach is highly applicable for identifying cyber-attacks on intrusion detection systems (IDS) in cyber-physical security systems. As a key part of network security defense, cyber-attacks can change and penetrate the security of the network system, then, the role of an IDS is to detect suspicious behaviors and act appropriately to protect the network from the onset of attacks. Machine learning and deep learning techniques are important for current intrusion detection systems. However, traditional intrusion detection systems are far from being able to quickly and accurately identify complex and diverse network attacks and obtained low accuracy and detection rates, thus, these methods frequently fail to manage big amounts of data in a vast network infrastructure and utilize a lot of features leads to poor performance. For addressing these issues and improving the accuracy and scalability, in this paper, we have implemented the deep learning method based on a new approach multilayer long short-term memory (LSTM) model for detecting attacks on a network. The novelty of the proposed scheme is that the optimum multilayer architecture is built to achieve maximum accuracy in the network architecture in order to boost performance using stacking multiple layers of LSTM cells in a more effective manner, and better stability to perform consistently in both binary classification and multiclass classification on NSL-KDD datasets. Experimental tests with KDDTest + datasets show that the proposed multilayer LSTM model provides outstanding results with 95% and 96% accuracy, respectively, in binary and multiclass classification. In order to deal with actual datasets and obtain good performance in the network design, our optimum multilayer architecture must be put into practice in order to execute real-time applications. Therefore, the results are better and more robust than the existing state-of-the-art methods

Periodic wave feature of real part of <i>P</i>₄.

(a), (b), (c) and (d) represent three dimensional plot and (e), (f), (g) and (h) represent their corresponding density plot. And also (i) represent two dimensional plot for z = 0 with interval −5 ≤ t ≤ 5.</p

Periodic wave feature of complex part of <i>P</i>₁.

(a), (b), (c) and (d) represent three dimensional plot and (e), (f), (g) and (h) represent their corresponding density plot. And also (i) represent two dimensional plot for z = 0 with interval −5 ≤ t ≤ 5.</p

Kink wave feature of absolute part of <i>P</i>₅.

(a), (b), (c) and (d) represent three dimensional plot and (e), (f), (g) and (h) represent their corresponding density plot. And also (i) represent two dimensional plot for z = 0 with interval −5 ≤ t ≤ 5.</p

Singular kink with interaction wave feature of absolute part of <i>P</i>₅.

(a), (b), (c) and (d) represent three dimensional plot and (e), (f), (g) and (h) represent their corresponding density plot. And also (i) represent two dimensional plot for z = 0 with interval −5 ≤ t ≤ 5.</p

The modified extended tanh technique ruled to exploration of soliton solutions and fractional effects to the time fractional couple Drinfel'd–Sokolov–Wilson equation

The modified extended tanh technique is used to investigate the conformable time fractional Drinfel'd-Sokolov-Wilson (DSW) equation and integrate some precise and explicit solutions in this survey. The DSW equation was invented in fluid dynamics. The modified extended tanh technique executes to integrate the nonlinear DSW equation for achieve diverse solitonic and traveling wave envelops. Because of this, trigonometric, hyperbolic and rational solutions have been found with a few acceptable parameters. The dynamical behaviors of the obtained solutions in the pattern of the kink, bell, multi-wave, kinky lump, periodic lump, interaction lump, and kink wave types have been illustrated with 3D and density plots for arbitrary chose of the permitted parameters. By characterizing the particular benefits of the exemplified boundaries by the portrayal of sketches and by deciphering the actual events, we have laid out acceptable soliton plans and managed the actual significance of the acquired courses of action. New precise voyaging wave arrangements are unambiguously gained with the aid of symbolic computation using the procedures that have been announced. Therefore, the obtained outcomes expose that the projected schemes are very operative, easier and efficient on realizing natures of waves and also introducing new wave strategies to a diversity of NLEEs that occur within the engineering sector

Gain spectrum of MI for different values of <i>a</i>₁ = {−0.3, −0.6, −0.9}, <i>a</i>₃ = {0.2, 0.5, 0.8}, <i>R</i> = {−0.2, −0.5, −0.8} and <i>l</i>₂ = {−0.7, −1.0, −1.3}.

Gain spectrum of MI for different values of a1 = {−0.3, −0.6, −0.9}, a3 = {0.2, 0.5, 0.8}, R = {−0.2, −0.5, −0.8} and l2 = {−0.7, −1.0, −1.3}.</p

Singular kink with interaction wave feature of absolute part of <i>P</i>₇.

(a), (b), (c) and (d) represent three dimensional plot and (e), (f), (g) and (h) represent their corresponding density plot. And also (i) represent two dimensional plot for z = 0 with interval −5 ≤ t ≤ 5.</p

Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics

Utilizing of illustrative scheming programming, the study inspects the careful voyaging wave engagements from the nonlinear time fractional modified Kawahara equation (mKE) by employing the advanced exp−φξ-expansion policy in terms of trigonometric, hyperbolic, and rational function through some treasured fractional order derivative and free parameters. The undercurrents of nonlinear wave answer are scrutinized and confirmed by MATLAB in 3D and 2D plots, and density plot by specific values of the convoluted parameters is designed. Our preferred advanced exp−φξ-expansion technique which is parallel to (G′/G) expansion technique is trustworthy dealing for searching significant nonlinear waves that progress a modification of dynamic depictions that ascend in mathematical physics and engineering grounds