This research aims to look into alternative unique solitary wave solutions the perturbed Chen–Lee–Liu (CLL) equation explain kinetic and physical aspects of an optical fiber pulse. The CLL is one most well-known icon models derived from Schrödinger equation. Two different analytical methodologies are used develop novel solutions. These responses then thoroughly evaluated using a numerical approach establish their underlying veracity. Various graphics show pulse analysis process outcomes in...

This study applies computational and numerical techniques to develop some novel accurate solutions for Gross–Pitaevskii (GP) equations. A quantum system of identical bosons is described using the Hartree–Fock approximation pseudopotential interaction model by equation (GPE), named after Eugene P. Gross Lev Petrovich Pitaevskii. Many solitary wave are constructed in various forms based on implementation Khater II method Kudryashov method. The gained numerically represented graph styles....

In this paper, we examine a modified auxiliary equation method. We applied novel method on Wu-Zhang system. This model used to describe (1 + 1)-dimensional dispersive long wave in two horizontal directions shallow waters. is one of the fractional nonlinear partial differential equations. conformable derivatives properties convert into ordinary with integer order. obtained many different kinds solutions such as kink and anti-kink, dark, bright, shock, singular, periodic solitary wave.

In this article, we present a modified auxiliary equation method. We harness modification in three fundamental models the biological branch of science. These are population model, equal width model and equation. The represent density occurring as result supply, lengthy wave propagating positive x-direction, simulation one-dimensional propagation nonlinear media with dispersion processes, respectively. discuss these fractional partial differential formulas. used conformable derivative...

In this paper, a nonlinear fractional emerging telecommunication model with higher–order dispersive cubic–quintic is studied by using two recent computational schemes. This kind of arising in many applications such as machine learning and deep learning, cloud computing, data science, dense sensor network, artificial intelligence convergence, integration Internet Things, self–service IT for business users, self-powered centers, networks (DSNs) that used the turbine blades monitoring health...

In this paper, the extended rational sinh-cosh method (ERSCM) and modified Khater are applied to biological population model derive new exact solutions. Moreover, stability property of some obtained solutions is discussed show ability them for using in model’s applications. Implementation direct algebraic methods, equations derived by substitution predicted solution solved. It significant point out that traveling wave found. The present methods easy employ sufficient determine

This paper studies (2+1)-dimensional Konopelchenko–Dubrovsky equation and KdV via a modified auxiliary technique. These two systems describe the connection between nonlinear weaves with weak scattering long-range interactions tropical, mid-latitude troposphere, interaction of equatorial Rossby waves, respectively. We implement novel technique to these find analytical traveling wave solutions. The performance this method shows its ability for applying on various partial differential...

In this paper, we investigate distinct novel analytical and semi-analytical solutions of the higher-order nonlinear Schrödinger equation with non-Kerr term by employment there different schemes. These schemes are generalized auxiliary method, exp--ϕξ expansion Adomain decomposition method that considered as useful tools in field. The suggested model study is used to explore dynamics light pulses for sub-10-fs-pulse propagation framework computational simulations. primary research our focuses...

This manuscript investigates the analytical and semi-analytical solutions of nonlinear phi-four (PF) equation by applying sech–tanh expansion method, modified Ψ′Ψ-expansion method Adomian decomposition method. is considered as a particular case well-known Klein–Fock–Gordon (KFG) equation. The KFG derived Oskar Klein Walter Gordon relates to Schrödinger Many quantum effects can be studied based on PF model's solutions, such wave-particle duality describe reality in form waves at heart...

In this study, the influence of integrability requirement on nonlinear Schrödinger equations with mixed derivatives is examined. The Rangwala–Rao (RR) equation named after A. Rangwala, who in 1990 was first to quantify these effects their entirety. aim our research identifying how generate individual waves and they interact one another. This get a better understanding dispersion effect progressive variation electric field envelope during pulse propagation optical fibers. direct algebraic...

This work focuses on the accuracy and numerical strategies for solving fractional Chaffee–Infante (CIE) equation in (2+1) dimensions computationally. model illustrates flow transformation of gas as it travels through a homogeneous medium. When constituents medium do not alter from their initial state, we say that is homogeneous. In none solutions did change proportions individual components. Three novel analytical techniques provide new, dependable approaches determining estimating...

Abstract Novel explicit wave solutions are constructed for the Kudryashov–Sinelshchikov (KS) equation through liquid–gas bubbles mix under thermodynamic conditions. A new fractional definition (Atangana–Baleanu derivative operator) is employed modified Khater method to get in distinct types of this model that used describe phenomena pressure waves The stability property obtained tested show ability our physical experiments. novelty and advantage proposed illustrated by applying model. Some...

This paper studies the nonlinear fractional undamped Duffing equation. The equation is one of fundamental equations in engineering. geographical areas this model represent chaos, relativistic energy-momentum, electrodynamics, and electromagnetic interactions. These properties have many benefits different science fields. depicts energy a point mass, which well thought out as periodically-forced oscillator. We employed twelve techniques to find explicit solutions approximate solutions....

In this research, the analytical and numerical solutions of fractional nonlinear space-time Phi-four model are investigated by employing two systematic schemes B-spline schemes. A new operator definition is applied to convert from its formula an integer-order ordinary differential equation. The considered major interest for studying nuclear interaction, elementary particles in a condensed medium, propagation dislocations crystals. Explicit wave obtained.

Abstract This paper studies the analytical, semi-analytical, and numerical solutions of Cahn–Allen equation, which plays a vital role in describing structure dynamics for phase separation Fe – Cr X ( $X=Mo,Cu$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mi>M</mml:mi><mml:mi>o</mml:mi><mml:mo>,</mml:mo><mml:mi>C</mml:mi><mml:mi>u</mml:mi></mml:math> ) ternary alloys. The modified Khater method, Adomian decomposition quintic B-spline scheme...

This research paper studies the optical soliton wave solutions of model sub-10-fs-pulse propagation by implementation modified Khater method. describes dynamics light pulses that represent a higher-order nonlinear Schrödinger equation with non-Kerr term. The validity this depends on one primary hypothesis, which is carrier wavelength much shorter than spatial width. means amplitude frequency must be less frequency. femtosecond ([Formula: see text]100 fs) are desired to increase bit rate...

In this research, analytical and numerical solutions are studied of a two–dimensional discrete electrical lattice, which is mathematically represented by the modified Zakharov–Kuznetsov equation. Moreover, stability property obtained investigated based on Hamiltonian system, then it used to evaluate initial boundary conditions that in investigation. Many kinds obtained, such as complex, exponential, hyperbolic, trigonometric function solutions. The functioning both schemes techniques tested...

Novel explicit wave solutions are constructed for the fractional nonlinear model of low–pass electrical transmission lines. A new definition (Atangana–Baleanu derivative operator) is employed through modified Khater method to get in distinct types this model. The stability property obtained tested show ability our using physical experiments. Moreover, analytical used evaluate initial and boundary conditions that allows applying cubic & septic B–spline schemes investigate numerical novelty...

&lt;p style='text-indent:20px;'&gt;In this research paper, the modified Khater method, Adomian decomposition and B-spline techniques (cubic, quintic, septic) are applied to deoxyribonucleic acid (DNA) model get analytical, semi-analytical, numerical solutions. These solutions comprise much information about dynamical behavior of homogenous long elastic rods with a circular section. constitute pair polynucleotide DNA molecule which plugged by an diaphragm that demonstrates hydrogen bond's...

In this study, we investigate the solitary wave solutions for (2+1)-dimensional Heisenberg ferromagnetic spin chain (HFSC). New are generated and checked using Bernoulli sub-equation (BSE), a novel Kudryashov (NKud), He's homotopy perturbation (He's HP). One may learn about waves by looking at polar, contour, two-dimensional, or three-dimensional charts. Our research is original because it contrasts with what has already been done. Mathematica software 13.1 utilized checking computational...