The motive of the study was to explore nonlinear Riemann wave equation, which describes tsunami and tidal waves in sea homogeneous stationary media. This establishes framework for analytical solutions equation using new extended direct algebraic method. As a result, soliton patterns have been successfully illustrated, with exact offered by plane solution, trigonometry mixed hyperbolic periodic solutions, shock singular trigonometric single complex solutions. Graphical visualization is...

<abstract><p>The study aims to explore the nonlinear Landau-Ginzburg-Higgs equation, which describes waves with long-range and weak scattering interactions between tropical tropospheres mid-latitude, as well exchange of mid-latitude Rossby equatorial waves. We use recently enhanced rising procedure extract important, applicable further general solitary wave solutions formerly stated model via complex travelling transformation. Exact obtained include a singular wave, periodic...

The objective of this research is to investigate the nonlinear Landau–Ginzburg–Higgs equation, which characterizes solitary waves exhibiting distant and feeble scattering interactions among tropical tropospheres mid-latitudes. Additionally, study will examine interchange mid-latitude Rossby equatorial within context. In article, we focus on obtaining exact traveling wave solutions for equation using a new extended direct algebraic technique. obtained soliton include various types such as...

Abstract This article investigates the non-linear generalized geophysical KdV equation, which describes shallow water waves in an ocean. The proposed projective Riccati equation method and modified auxiliary extract a more efficient broad range of soliton solutions. These include U-shaped, W-shaped, singular, periodic, bright, dark, kink-type, breather soliton, multi-singular singular with high amplitude, multiple lump wave flat kink-type travelling patterns model are graphically presented...

Inrecent years, there has been a notable increase in utilising multiple criteria decision-making (MCDM) methods practical problem solving. The advancement of enhanced decision models with greater capabilities, coupled technologies like geographic information systems (GIS) and artificial intelligence (AI), fueled the application MCDM techniques across various domains. To address scarcity irrigation water resources Bortala, Northwest China, selection dam site approached using hybrid model...

The current study explores the (2+1)-dimensional Chaffee-Infante equation, which holds significant importance in theoretical physics renowned reaction-diffusion equation with widespread applications across multiple disciplines, for example, ion-acoustic waves optical fibres, fluid dynamics, electromagnetic wave fields, high-energy physics, coastal engineering, mechanics, plasma and various other fields. Furthermore, serves as a model that elucidates physical processes of mass transport...

This article aims to study the time fractional coupled nonlinear Schrödinger equation, which explains interaction between modes in optics and Bose-Einstein condensation. The proposed generalized projective Riccati equation method modified auxiliary extract a more efficient broad range of soliton solutions. These include novel solutions like combined dark-lump wave soliton, multiple two dark-kink solitons, flat kink-lump wave, U-shaped with lump bright-dark high amplitude kink dark-periodic...

Multicriteria decision-making techniques have been used widely in intelligent decision support systems for many executive decisions. Nongovernment organizations (NGOs), Non-Profitable Organizations (NPOs), and privileged persons employ survey methods to obtain deserving people’s data charity donations under United Nations poverty alleviation initiatives, example, financial assistance. They collect manually or semi-automated, then narrow down the list of recipients based on specific criteria....

Abstract In this article, the new extended direct algebraic method is used to build exact travellingwave solutions for non-linear time-fractional Clannish Random Walker’s Parabolic equation.This study establishes framework in which periodic, singular, dark, bright and kink-typewave solitons are obtained with offered by mixed hyperbolic trigonom-etry solutions, periodic plane shock mixedtrigonometric singular single complex solitarysingular wave solutions. The soliton of thetime-fractional...