The Lump, multi-wave, breather, interactional solutions and stability analysis for the general r-th dispersionless Dym equation are obtained by some fruitful transformations. This approach based on an hypothesis that includes a quadratic polynomial function with appropriate parameters. Also finding breathers interaction phenomena we use different assumptions trigonometric exponential functions. Eventually, lump, bright dark lump breather wave profiles of analyzed. These results drawn out...

Abstract Thermal performance can be enhanced due to the mixing of nanoparticles in base fluid. This research discusses involvement ternary hybrid mixture pseudo-plastic fluid model past over a two dimensional porous stretching sheet. Modelling energy equation is carried out presence external heat source or sink and viscous dissipation. The flow presenting equations derived Cartesian coordinate system under usual boundary layer theory form complex coupled partial differential (PDEs). PDEs...

In present work, we discussed the (3+1)-dimensional generalized Korteweg–de-Vries–Zakharov–Kuznetsov equation (gKdV-ZKe) which describes effect of magnetic field on weak nonlinear ion-acoustic waves studied in plasma comprised cool and hot electrons. The solutions gKdV-ZKe are acquired by new modified extended direct algebraic method (MEDAM) observed form solitary, shock, singular, shock-singular, solitary-shock double singular soliton solutions. Moreover, families rational also emerged...

The Middle East respiratory syndrome coronavirus (MERS-CoV) is a highly infectious illness that poses significant threat to public health. Understanding the transmission dynamics of MERS-CoV crucial for effective control and prevention strategies. In this study, we develop precise mathematical model capture MERS-CoV. We incorporate some novel parameters related birth mortality rates, which are essential factors influencing spread virus. obtain epidemiological data from reliable sources...

In this article, we study the nonlinear higher order of extended KdV equation with free surface displacement. The modified exponential rational function method is used in to find exact solutions equation. As a result, various for under consideration are obtained. To illustrate graphical behavior results, some obtained presented graphically.

This article studies a biological population model in the context of fractional Caputo-Fabrizio operator using double Laplace transform combined with Adomian method. The conditions for existence and uniqueness solution problem under consideration is established use Banach principle some theorems from fixed point theory. Furthermore, convergence analysis presented. For accuracy validation technique, applications are numerical simulations present obtained approximate solutions variety orders....

The developed article considers SIR problems for the recent COVID-19 pandemic, in which each component is divided into two subgroups: young and adults. These subgroups are distributed among classes compartment, effect of observed class. fractional problem investigated using non-singular operator Atangana Baleanu Caputo sense (ABC). existence uniqueness solution calculated fundamental theorems fixed point theory. stability development also determined Ulam-Hyers technique. approximate...

In this article, we define a new class of noncommuting self mappings known as the S-operator pair. Also, provide existence and uniqueness common fixed point results involving pair satisfying (F,φ,ψ,Z)-contractive condition in m-metric spaces, which unifies generalizes most existing relevant theorems. Furthermore, variables space are symmetric, is significant for solving nonlinear problems operator theory. addition, examples provided order to illustrate concepts presented herein. It has been...

Abstract A time‐dependent mixed convective hybrid nanofluid (HNF) ( /Engine oil) flow between two spinning disks is considered. The physical problem modeled and transformed into a non‐dimensional ordianary differential equation system to reduce the complexity. modified Devi Devi's model utilized for properties. cylindrical shape nanoparticles are considered analysis of various pertinent parameters. base fluid as engine oil briefly explain its thermal behavior. One famous optimization...

Abstract We examine a new model for the Casson fluid (CF) migration near thin needle. The needle is moving along free stream with constant velocity. impacts of nonlinear thermal radiation, Joule heating, magnetic fields, and viscous dissipation are considered in flow. flow modeled basic equations, whose complexity reduced similarity transformations. introduced artificial neural network (ANN) to tackle first‐order system equations. ANN trained numerical methods (bvp4c) solution that uses...

In this paper, we study variational integrators (VIs) with the help of projection technique for Korteweg–de Vries (KdV) equation. First, use forward, backward and central difference schemes. After that, Lagrangian, Euler–Lagrange equation discrete to find numerical solution KdV Finally, obtain soliton solutions like W-shape, bright kink generalized Kudryashov method (GKM). These solitons are used in optical communication, Bose–Einstein condensate, plasma physics, fiber optics sensors so on.

This paper extends the recent study by Samir et al. [Mathematics 10 (2022) 4085, doi:10.3390/math10214085] exploring a broader class of nonlinear Schrödinger equations. It incorporates both cubic-quintic-septic-nonic and quadrupled power-law nonlinearities, along with resonant term that plays fundamental role in propagation optical solitons systems. Additionally, more sophisticated analytical method is employed, yielding infinite pairs for extended reveals all results presented are special...

In this paper, we investigate the ([Formula: see text])-dimensional complex coupled Maccari system, which is an important component in understanding nonlinear wave interactions. We aim to find exact solutions that highlight patterns. To achieve this, apply extended hyperbolic function method. The results demonstrate various waveforms and patterns enhance our of revealing a wide variety different types such as periodic, dark, singular-periodic, singular, bright optical solitons, some rational...