N-vortex problem: Analytical techniques

PK Newton, MF Platzer - Appl. Mech. Rev., 2002 - asmedigitalcollection.asme.org
This book comprises seven chapters, an appendix, a bibliographical section 98 references,
and an index. Exercises are provided at the end of each chapter. The stated goal of the book …

Towards understanding the algorithms for solving the Navier–Stokes equations

SV Ershkov, EY Prosviryakov… - Fluid Dynamics …, 2021 - iopscience.iop.org
In this paper, we present a review of featured works in the field of hydrodynamics with the
main aim to clarify the ways of understanding the algorithms for solving the Navier–Stokes …

Multi-linear regression of triple diffusive convectively heated boundary layer flow with suction and injection: Lie group transformations

SU Mamatha, RLVR Devi, NA Ahammad… - … Journal of Modern …, 2023 - World Scientific
This work analyzes the two-dimensional flow of an incompressible magneto-hydrodynamic
fluid over linear stretching sheet in the presence of suction or injection and convective …

[HTML][HTML] Novel multiple soliton solutions for some nonlinear PDEs via multiple Exp-function method

KS Nisar, OA Ilhan, ST Abdulazeez, J Manafian… - Results in Physics, 2021 - Elsevier
In this work, the analytic solutions for different types of nonlinear partial differential equations
are obtained using the multiple Exp-function method. We consider the stated method for the …

Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation

S Kumar, D Kumar, A Kumar - Chaos, Solitons & Fractals, 2021 - Elsevier
In this article, the Lie group of transformation method via one-dimensional optimal system is
proposed to obtain some more exact solutions of the (4+ 1)-dimensional Fokas equation. Lie …

Lie group analysis for a higher-order Boussinesq-Burgers system

FY Liu, YT Gao - Applied Mathematics Letters, 2022 - Elsevier
Abstract Boussinesq-Burgers (BB)-type equations have been proposed to model the shallow
water waves. Under investigation in this Letter is a higher-order BB system. We obtain the …

[图书][B] Fractional calculus with applications in mechanics: vibrations and diffusion processes

TM Atanackovic, S Pilipovic, B Stankovic, D Zorica - 2014 - books.google.com
This book contains mathematical preliminaries in which basic definitions of fractional
derivatives and spaces are presented. The central part of the book contains various …

[图书][B] Handbook of ordinary differential equations: exact solutions, methods, and problems

AD Polyanin, VF Zaitsev - 2017 - taylorfrancis.com
The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems,
is an exceptional and complete reference for scientists and engineers as it contains over …

[图书][B] Solitons, nonlinear evolution equations and inverse scattering

MJ Ablowitz, PA Clarkson - 1991 - books.google.com
This book brings together several aspects of soliton theory currently available only in
research papers. Emphasis is given to the multi-dimensional problems which arise and …

Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation

A Jhangeer, A Hussain, M Junaid-U-Rehman… - Chaos, Solitons & …, 2021 - Elsevier
In this paper, the nonlinear modified Gardner (mG) equation is under consideration which
represents the super nonlinear proliferation of the ion-acoustic waves and quantum electron …