The residual symmetry of the KdV6 equation is obtained by Painlevé truncate expansion. Since non-local, five field quantities are introduced to localize it into local one. Besides, interaction solutions between solitons and cnoidal periodic waves constructed making use consistent tanh expansion method. As an illustration, a specific solution in form function Jacobian elliptic discussed both ana...

A class of stochastic fractional diffusion equations with polynomials is considered in this article. This equation used numerous applications, such as ecology, bioengineering, biology, and mechanical chemical engineering. As a result, it critical to obtain exact solutions equation. To these solutions, the tanh-coth method utilized. Furthermore, we clarify impact noise on solution stabilization ...

In this article, we investigate novel optical solitons solutions for the Lakshmanan–Porsezian–Daniel (LPD) equation, along with group velocity dispersion and spatio-temporal dispersion, via three altered analytical techniques. A variety of bright, singular, dark, periodic kink are constructed Kudryashov method, generalized tanh method Sardar-subequation method. The dynamical behavior extracted ...

This paper attempts to make an quantitative evaluation of available normalization techniques of matching scores in multimodal biometric systems. Two new normalization techniques Four Segments Piecewise Linear (FSPL) and Linear Tanh Linear (LTL) have been proposed in this paper. FSPL normalization techniques divides the region of genuine and impostor scores into four segments and maps each segme...

In this work, we consider the Boiti–Leon–Manna–Pempinelli equation with M-truncated derivative (BLMPE-MTD). Our aim here is to obtain trigonometric, rational and hyperbolic solutions of BLMPE-MTD by employing two diverse methods, namely, He’s semi-inverse method extended tanh function method. addition, generalize some previous results. As a model for an incompressible fluid, obtained may be uti...

This study proposes novel Long Short-Term Memory (LSTM)-based classifiers through developing the internal structure of LSTM neural networks using 26 state activation functions as alternatives to traditional hyperbolic tangent (tanh) function. The have high performance in solving vanishing gradient problem that is observed recurrent networks. Performance investigations were carried out utilizing...

We derive bounds on the error, in high-order Sobolev norms, incurred approximation of Sobolev-regular as well analytic functions by neural networks with hyperbolic tangent activation function. These provide explicit estimates error respect to size networks. show that tanh only two hidden layers suffice approximate at comparable or better rates than much deeper ReLU

Introduction: We have applied tensor based morphometry (TBM) method to study the atrophy and shape changes of deep gray matter (DGM) structures in 88 Relapsing-Remitting Multiple Sclerosis (RRMS) patients. To improve the accuracy and robustness of morphometry measurement, an unbiased template was constructed from 20 normal brains for group comparison. A symmetric inverse consistent nonlinear re...