Nonlinear Schrodinger equations can model nonlinear waves in plasma physics, optics, fluid and atmospheric theory of profound water so on. In this work, the [Formula: see text]-expansion, sine–cosine Riccati–Bernoulli sub-ODE techniques have been utilized to establish solitons, periodic several types solutions for coupled Schrödinger equations. These methods with help symbolic computations via Mathematica 10 are robust adequate solve partial differential mathematical physics. Finally, 3D...

<abstract><p>The nonlinear Maccari's systems depict the dynamics of isolated waves, detained in a small part space, optical communications, hydrodynamics and plasma physics. In this paper, we construct some new solutions for systems, using unified solver technique based on He's variations technique. These prescribe vital complex phenomena The proposed will be used as box considering various models applied science Some graphs are presented order to display dynamical behaviour...

We utilize a cohesive methodology to obtain some new solitary wave solutions for the (2 + 1)-dimensional nonlinear Schrödinger equation (2D-NLSE). The provided herein are significant elucidating physical phenomena in various domains, including optical fibers, plasma media, and ocean waves. Furthermore, scientific computing would be used illustrate interpretation of Our study examines how 2D-NLSE affect model characteristics such as group velocity dispersion, nonlinearity, linear...

Abstract This article concerns with the construction of analytical traveling wave solutions for model equations ion sound under action ponderomotive force due to high-frequency field and Langmuir higher-order nonlinear Schrödinger equation by Riccati–Bernoulli sub-ODE method. We give exact these two equations. The proposed method is effective tool solve many other partial differential Moreover, this can a new infinite sequence solutions. These are expressed hyperbolic, trigonometric rational...

<abstract> We construct new solitary structures for time fractional Phi-4 and space-time simplified modified Camassa-Holm (MCH) equations, utilizing the unified solver technique. The (space-time) derivatives are defined via sense of conformable derivative. technique extract vital solutions in explicit way. obtained may be beneficial explaining many complex phenomena arising fluid mechanics, nuclear, plasma particle physics. method is a tool handling further models applied science For...

In this paper, we consider the fractional ion sound and Langmuir waves (FISALWs) equation. We apply unified solver technique in order to extract some new solutions for FISALWs The derivative is defined sense of a conformable derivative. proposed based on He’s semi-inverse method gives beneficial explicit form. recital trustworthy useful new, more general exact solutions. constraint conditions existence valid soliton are reported. enforcement presented might be especially interesting...

The nonlinear Schrödinger’s equations (NLSEs) is a famous model used to investigate the propagation of optical solitons via fibers. We applied unified solver method in order extract some new stochastic solutions for three types NLSEs forced by multiplicative noise Itô sense. acquired describe exhibit influence presence term on solution NLSEs. theoretical analysis and presented illustrate that proposed powerful efficient. Finally, wave amplitudes may be controlled effects performance physical...

Abstract It is argued that diffusion in biological and economical systems better modelled by Cattaneo's equation where memory effects are included. Reaction equations using system derived for prisoner's dilemma (PD) hawk-dove (HD) games. Nonlinear wave solutions them. As expected the asymptotic solution PD case insufficient. Hence a cellular automata motivated used to show existence of cooperation local game.

In this article, we present a hyperbolic secant-squared distribution via the nonlinear evolution equation. Namely, for equation, probability density function of (HSS) has been determined. The our model variety shapes, including symmetric, left-skewed, and right-skewed. Eight distinct frequent list estimation methods have proposed estimating parameters models. Additionally, these techniques used to examine behavior HSS using data sets that were generated randomly. To demonstrate how findings...

In this article we apply three mathematical methods for solving the Maccari system, namely, exp(-ϕ(ξ))- expansion method, sine-cosine approach and Riccati-Bernoulli sub-ODE method. These are used to construct new general exact periodic soliton solutions of system. This nonlinear system can be turned into another ordinary differential equation by suitable transformation. It is shown that exp(-ϕ(ξ))-expansion method provide a powerful tool great many systems partial equations in physics.

Abstract In this article, the system for long–short-wave interaction (LS) is considered. order to construct some new traveling wave solutions, He’s semi-inverse method implemented. These solutions may be applicable physical environments, such as physics and fluid mechanics. show that proposed easy apply technique a very powerful tool solve many other nonlinear partial differential equations in applied science.

Problem statement: The problem of finding the minimum value objective function, when we know only some values it, is needed in more practical fields. Quadratic interpolation algorithms are famous tools deal with this kind these problems. These interested polynomial space which function approximated. Approach: In study approximated by a one dimensional quadratic polynomial. This approach saved time and effort to get best point at minimized. Results: each steps proposed algorithm, accelerate...

The impact of Stratonovich integrals on the solutions Heisenberg ferromagnetic spin chain equation using unified solver approach is examined in this study. In particular, arbitrary parameters, traveling wave arrangements rational, trigonometric, and hyperbolic functions are developed. detailed exceptionally critical for clarifying diverse complex wonders plasma material science, optical fiber, quantum mechanics, super liquids so on. Here, Itô stochastic calculus considered. To describe...