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 …
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 …
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 …
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
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 …
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
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 …
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 …
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
This book contains mathematical preliminaries in which basic definitions of fractional
derivatives and spaces are presented. The central part of the book contains various …
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 …
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 …
research papers. Emphasis is given to the multi-dimensional problems which arise and …
Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation
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 …
represents the super nonlinear proliferation of the ion-acoustic waves and quantum electron …