Results 1 to 10 of about 358 (72)

Study of analytical method to seek for exact solutions of variant Boussinesq equations. [PDF]

Springerplus, 2014
In this paper, we have been acquired the soliton solutions of the Variant Boussinesq equations. Primarily, we have used the enhanced (G′/G)-expansion method to find exact solutions of Variant Boussinesq equations.
Khan K, Akbar MA.
europepmc   +2 more sources

Solitary wave solutions of the fourth order Boussinesq equation through the exp(-Ф(η))-expansion method. [PDF]

Springerplus, 2014
The exp(–Ф(η))-expansion method is an ascending method for obtaining exact and solitary wave solutions for nonlinear evolution equations. In this article, we implement the exp(–Ф(η))-expansion method to build solitary wave solutions to the fourth order ...
Akbar MA, Hj Mohd Ali N.
europepmc   +2 more sources

Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation. [PDF]

Springerplus, 2014
Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature.
Islam MH, Khan K, Akbar MA, Salam MA.
europepmc   +2 more sources

Expected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary [PDF]

arXiv, 2006
Estimates are obtained for the expected volume of intersection of independent Wiener sausages in Euclidean space in the small time limit. The asymptotic behaviour of the weighted diagonal heat kernel norm on compact Riemannian manifolds with smooth boundary is obtained in the small time ...
Berg, M. van den, Gilkey, P.
arxiv   +3 more sources

Heat trace asymptotics with singular weight functions II [PDF]

arXiv, 2010
We study the weighted heat trace asymptotics of an operator of Laplace type with mixed boundary conditions where the weight function exhibits radial blowup. We give formulas for the first three boundary terms in the expansion in terms of geometrical data.
Berg, Michiel van den, Gilkey, Peter, Kirsten, Klaus   +2 more
arxiv   +3 more sources

Traveling wave solutions of Benny Luke equation via the enhanced (G'/G)-expansion method

Ain Shams Engineering Journal, 2021
In this article, we execute the enhanced (G'/G)-expansion method to search for new and further general closed-form wave solutions to the nonlinear partial differential equation, namely the Benny Luke equation.
A.K.M. Kazi Sazzad Hossain, M. Ali Akbar
doaj  

A note on resonant frequencies for a system of elastic wave equations

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 64, Page 3485-3498, 2004., 2004
We present a rather simple proof of the existence of resonant frequencies for the direct scattering problem associated to a system of elastic wave equations with Dirichlet boundary condition. Our approach follows techniques similar to those in Cortés‐Vega (2003).
Luis A. Cortés-Vega
wiley   +1 more source

Geometric maximizers of Schatten norms of some convolution type integral operators [PDF]

, 2017
In this paper we prove that the ball is a maximizer of the Schatten $p$-norm of some convolution type integral operators with non-increasing kernels among all domains of a given measure in $\mathbb R^{d}$.
Ruzhansky, Michael, Suragan, Durvudkhan
core   +2 more sources

Periodic solutions of nonlinear vibrating beams

Abstract and Applied Analysis, Volume 2003, Issue 14, Page 823-841, 2003., 2003
The aim of this paper is to prove new existence and multiplicity results for periodic semilinear beam equation with a nonlinear time‐independent perturbation in case the period is not prescribed. Since the spectrum of the linear part varies with the period, the solvability of the equation depends crucially on the period which can be chosen as a free ...
J. Berkovits, H. Leinfelder, V. Mustonen
wiley   +1 more source

Equation of the fixed membrane in the n‐dimensional space: some remarks on the maxima of the eigenfunctions subjected to various norms

International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 337-340, 1979., 1979
We show in this paper that the sequence {max|uk|}, where the uk are the eigenfunctions of the problem Δu + λu = 0 in D ⊂ Rn and u = 0 on ∂D, is not bounded generally if one imposes the norm ∫Du2p(x)dx = 1, p = (1), 2, 3, …. The same holds with the norm ∫D|gradu|2pdx = 1 when n > 4p − 1. On the other hand, if D ⊂ R2, resp.
Yves Biollay
wiley   +1 more source