Abstract In this study, we use the Khater Method (KM) as an efficient analytical tool to solve (3+1)-dimensional fractional extended shallow water wave equations (FESWWEs) with conformable derivatives. The KM transforms partial differential ordinary (ODEs) via strategic variable transformation. Then, series-form solutions these ODEs are proposed, which turn them into nonlinear algebraic systems. solution set of yields shock travelling expressed in hyperbolic, trigonometric, exponential, and...

Fractional partial differential equations emerge as a prominent research area in recent times owing to their ability depict intricate physical phenomena. Discovering travelling wave solutions for fractional is an arduous task, and several mathematical approaches devise address this issue. This investigation aims compare two distinguished methods, namely, the generalized (G′G)-Expansion extended (G′G)-Expansion, discovering most optimal equations. Our observations indicate that method...

In this paper, we suggest the modified Extended Direct Algebraic Method (mEDAM) to examine existence and dynamics of solitary wave solutions in context fractional coupled Higgs system, with Caputo’s derivatives. The method begins formulation nonlinear differential equations using a complex transformation, followed by derivation solutions. Two-dimensional, Three-dimensional contour graphs are used investigate behavior traveling research reveals many families as well their deep...

Abstract The current investigation focuses on the thermal characteristics and heat mass transfer in context of their applications. There has been a lot interest utilization non‐Newtonian liquids various engineering biological fields. Having such considerable attention liquids, goal is to investigate flow nature viscoelastic nanoliquid driven by permeable stretchable surface considering Buongiorno nanofluid model with suction or injection mixed convection. This includes Brownian diffusion,...

Abstract This article develops and investigates the behavior of soliton solutions for spatiotemporal conformable Klein–Gordon equation (CKGE), a well-known mathematical physics model that accounts spinless pion de-Broglie waves. To accomplish this task, we deploy an effective analytical method, namely, modified extended direct algebraic method (mEDAM). first nonlinear ordinary differential (NODE) through use wave transformation. With help generalized Riccati NODE balancing nonlinearity with...

In this research, we use a novel version of the Extended Direct Algebraic Method (EDAM) namely generalized EDAM (gEDAM) to investigate periodic soliton solutions for nonlinear systems fractional Schrödinger equations (FSEs) with conformable derivatives. The FSEs, which is abstraction equation, grasp notable relevance in quantum mechanics. proposed gEDAM technique entails creating ordinary differential via complex transformation, are then solved acquire solutions. Several 3D and contour...

Abstract The key purpose of the existing article is to discuss effects various hybrid nanofluids and a simple nanofluid over heat transfer friction drags along stretched surface. kinds together with aligned magnetic field, nonlinear radiation suction have been taken into consideration. These are prepared by suspending couple distinct nanoparticles $$Cu$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Cu</mml:mi> </mml:mrow> </mml:math> $$A{l}_{2}{O}_{3}$$...

Abstract In this research, we aim to construct and examine optical soliton solutions for the complex structured Conformable Perturbed Radhakrishnan-Kundu-Lakshmanan Model (CPRKLM) using Generalized-Kudryashov-Auxiliry Jacobian Method (GKAJM). The current study is notable its thorough examination shedding insight on chaotic behavior of families localized soliton. Through creation 3D contour visualizations that effectively capture behaviors shown by these solitons, are able demonstrate...

Abstract This study models the convective flow of Prandtl–Eyring nanomaterials driven by a stretched surface. The model incorporates significant aspects activation energy, Joule heating and chemical reaction. thermal impulses particles with melting condition is addressed. system equations an ordinary differential equation (ODE) tackled numerically utilizing Lobatto IIIA computational solver. physical importance controlling variables to temperature, velocity concentration analyzed using...

&lt;abstract&gt;&lt;p&gt;In this paper, we present two new generalized Gauss-Seidel iteration methods for solving absolute value equations $ Ax-| x | = b, where A is an M $-matrix. Furthermore, demonstrate their convergence under specific assumptions. Numerical tests indicate the efficiency of suggested with suitable parameters.&lt;/p&gt;&lt;/abstract&gt;

The current study investigates the association of board characteristics with firms’ environmental performance to provide further research and policy implications by carrying out systematic bibliometric analysis. most potent contribution was evaluate authors, geographical regions, journals academic institutions document their impact on development literature. Moreover, has used analytical statistics examine how themes have evolved, impediments in existing literature can be overcome. Our...

The remote sensing-based Earth satellites has become a beneficial instrument for the monitoring of natural hazards. This study includes multi-sensors analysis to estimate spatial-temporal variations atmospheric parameters as precursory signals Mw 7.2 Haiti Earthquake (EQ). We studied EQ anomalies in Land Surface Temperature (LST), Air (AT), Relative Humidity (RH), Pressure (AP), and Outgoing Longwave Radiation (OLR). Moreover, we found EQ-associated abnormalities time window 3–10 days before...

In this research work, we investigate the complex structure of soliton in Fractional Kudryashov–Sinelshchikov Equation (FKSE) using conformable fractional derivatives. Our study involves development solutions modified Extended Direct Algebraic Method (mEDAM). This approach a key variable transformation, which successfully transforms model into Nonlinear Ordinary Differential (NODE). Following that, by series form solution, NODE is turned system algebraic equations, allowing us to construct...

This study was an attempt to conduct eco-stylistics analysis of Wordsworth's The World is Too Much with Us (1807). basic aim this foreground the ecological elements through metaphors, deviations and parallelisms. current qualitative based on interpretivist paradigm. text used as a primary source data for analysis. analyzed closed reading textual present Halliday’s Systemic Functional Grammar (1985) Zurru’s (2017) approach theoretical framework. highlighted that his poetic language,...

This article investigates the flow properties of two-dimensional steady incompressible Williamson nanofluid moving over a stretched exponential surface with features both suction/injections. The coupled boundary conditions introduce influence thermophoresis as well Brownian motion. assessment heat transfer is conducted for two prescribed order flux (PEHF) and temperature (PEST). fundamental laws motion have been implemented mathematically to model existing situations. non-dimensional...

The safe and sustainable design of rock slopes, open-pit mines, tunnels, foundations, underground excavations requires appropriate reliable estimation strength deformation characteristics. Cohesion (𝑐) angle internal friction (𝜑) are the two key parameters widely used to characterize shear materials. Thus, prediction these is essential evaluate stability any formation. In this study, four advanced machine learning (ML)-based intelligent models, namely Lasso regression (LR), ridge (RR),...

The Newton-type technique is proposed for solving absolute value equations. This new method a two-step with the generalized Newton as predictor and corrector step Simpson’s method. Convergence results are established under mild assumptions. very simple easy to implement. effective solve large systems. heat equation solved by using technique. Numerical outcomes show efficiency of our We add concluding remarks at end this paper.