[图书][B] Theory of nonlinear acoustics in fluids

BO Enflo, CM Hedberg - 2002 - books.google.com
The aim of the present book is to present theoretical nonlinear aco-tics with equal stress on
physical and mathematical foundations. We have attempted explicit and detailed accounting …

[图书][B] Self-similarity and beyond: exact solutions of nonlinear problems

PL Sachdev - 2019 - api.taylorfrancis.com
Nonlinearity plays a major role in the understanding of most physical, chemical, biological,
and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often …

Group classification and exact solutions of variable-coefficient generalized Burgers equations with linear damping

OA Pocheketa, RO Popovych, OO Vaneeva - Applied Mathematics and …, 2014 - Elsevier
Admissible point transformations between Burgers equations with linear damping and time-
dependent coefficients are described and used in order to exhaustively classify Lie …

Large‐time asymptotics for periodic solutions of the modified Burgers equation

PL Sachdev, CS Rao, BO Enflo - Studies in Applied …, 2005 - Wiley Online Library
Large‐Time Asymptotics for Periodic Solutions of the Modified Burgers Equation - Sachdev -
2005 - Studies in Applied Mathematics - Wiley Online Library Skip to Article Content Skip to …

Initial boundary value problems for scalar and vector Burgers equations

KT Joseph, PL Sachdev - Studies in Applied Mathematics, 2001 - Wiley Online Library
In this article we study Burgers equation and vector Burgers equation with initial and
boundary conditions. First we consider the Burgers equation in the quarter plane x> 0, t> 0 …

N-wave solution of modified Burgers equation

PL Sachdev, CS Rao - Applied Mathematics Letters, 2000 - Elsevier
N-Wave Solution of Modified Burgers Equation Page 1 Applied Mathematics Letters PERGAMON
Applied Mathematics Letters 13 (2000) 1 6 www.elsevier.nl/locate/anti N-Wave Solution of …

Behavior of intense acoustic noise at large distances

SN Gurbatov, IY Demin, VV Cherepennikov, BO Enflo - Acoustical Physics, 2007 - Springer
Propagation of intense acoustic noise waves is investigated in the case of a nonplanar
geometry. It is shown that, at large distances from the source, where the nonlinear effects …

Large‐time asymptotics for periodic solutions of some generalized Burgers equations

PL Sachdev, BO Enflo, CS Rao… - Studies in Applied …, 2003 - Wiley Online Library
In this paper, we construct large‐time asymptotic solutions of some generalized Burgers
equations with periodic initial conditions by using a balancing argument. These asymptotics …

Numerical solution of non-planar Burgers equation by Haar wavelet method

SR Shesha, AL Nargund… - Journal of Mathematical …, 2017 - jmm.guilan.ac.ir
In this paper, an efficient numerical scheme based on uniform Haar wavelets is used to
solve the non-planar Burgers equation. The quasilinearization technique is used to …

Exact N-wave solutions of generalized Burgers equations

PL Sachdev, KT Joseph… - Studies in Applied …, 1996 - eprints.iisc.ac.in
Exact N-wave solutions for the generalized Burgers equation u (t)+ u (n) u (x)+(j/2t+ alpha)
u+(beta+ gamma/x) u (n+ 1)= delta/2u (xx), where j, alpha, beta, and gamma are …