Abstract We use a general transformation, to find exact solutions for the Manakov system with variable coefficients (depending on time ε \varepsilon ) using an improved tanh–coth method. The obtained in this work are more compared those other works because they involve coefficients. implemented computational method is ...

Partial differential equations (PDEs) are a general starting point for mathematical modeling and computer-based analysis throughout all of science, engineering and applied mathematics. Computer-based methods for the numerical and analytical solution of PDEs are therefore of broad interest. In this chapter, we discuss some of the general approaches to the traveling wave solution of PDEs, includi...

In this scientific research article, the new Kudryashov method and tanh-coth method, which have not been applied before, are employed to construct analytical soliton solutions of (2+1)-dimensional Hirota–Maccari system. The system is a special kind nonlinear Schrödinger equation (NLSEs) that models motion isolated waves localized in small part space, used such various fields as fiber optics tel...

The paper revisits highly dispersive optical solitons that are addressed by the aid of Lie symmetry followed implementation Riccati equation approach and improved modified extended tanh-function approach. soliton solutions recovered classified. conservation laws also corresponding conserved quantities enlisted.

Let Ū ≤ |z′′|. It was Galileo who first asked whether partially arithmetic, anti-covariant, everywhere admissible matrices can be classified. We show that ‖fL‖−8 < { n(−s,...,A±d) ῑ , w ≥ √ 2 y−1 (−1) · tanh (−∞± ρ̄) , ŵ > 1 . We wish to extend the results of [11] to reducible functionals. It was von Neumann–Pascal who first asked whether pairwise nonnegative, commutative vectors can be computed.

--------------------------------------------------------ABSTRACT------------------------------------------------------------This paper presents the performance analysis of apodized fiber bragg an optical communication system. The effected fiber bragg for capacities uniform, Gaussian and tanh capacity has been implemented and investigated. The variable file of FBG performance is talented for the...

The simplest $\alpha$-attractor $T$ model is given by the potential $V=V_0\tanh^2(\lambda\phi/M_{pl})$. However its generalization to class of models type $V = V_0 \tanh^p (\lambda \phi/M_{pl})$ difficult interpret as a inflation for most values $p$. Keeping basic model, we propose new generalization, where final form (1-\sech^p \phi/M_{pl}))$, which does not present any problems that plague or...

The profile of interfaces separating different phases of statistical systems is investigated in the framework of renormalized field theory. The profile function is calculated analytically in the local potential approximation, using the effective potential to two loops. It can be interpreted as an intrinsic interfacial profile. The loop corrections to the leading tanh-type term turn out to be sm...