Results 31 to 40 of about 2,594 (170)

New Periodic Solutions for a Class of Zakharov Equations

Advances in Mathematical Physics, 2016
Through applying the Jacobian elliptic function method, we obtain the periodic solution for a series of nonlinear Zakharov equations, which contain Klein-Gordon Zakharov equations, Zakharov equations, and Zakharov-Rubenchik equations.
Cong Sun, Shuguan Ji
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Modified Elliptic Integral Approach for the Forced Vibration and Sound Transmission Analysis of a Nonlinear Panel Backed by a Partitioned Cavity

Mathematics, 2022
This article is the further work of previous papers and also the first study to adopt the elliptic integral approach to solve the forced nonlinear structural acoustic problem.
Yiu-Yin Lee
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A Symmetrization Result for Nonlinear Elliptic Equations

Revista Matemática Complutense, 2004
The authors consider the following problem \[ -\Delta_pu=c|u|^{p-2}u+f\text{ in }\Omega\qquad u=0\text{ on }\partial\Omega,\tag{1} \] where \(\Delta_p\) is the \(p\)-Laplacian operator, \(p>1\), and \(c,f\) are bounded given functions. Under some natural assumptions on the data of (1), the authors prove that the rearrangement of \(u\) can be estimated ...
FERONE, VINCENZO, MESSANO, BASILIO
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New Jacobi Elliptic Function Solutions for the Zakharov Equations

Journal of Applied Mathematics, 2012
A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations.
Yun-Mei Zhao
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Elliptic function solutions and travelling wave solutions of nonlinear Dodd-Bullough-Mikhailov, two-dimensional Sine-Gordon and coupled Schrödinger-KdV dynamical models

Results in Physics, 2018
In this article, we construct the traveling wave and elliptic function solutions of some special nonlinear evolution equations which are arising in mathematical physics, solid-state physics, fluid flow, fluid dynamics, nonlinear optics, electromagnetic ...
Dianchen Lu, Aly R. Seadawy, Muhammad Arshad   +2 more
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Picone-type inequalities for nonlinear elliptic equations and their applications

Journal of Inequalities and Applications, 2001
Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano, Yoshida Norio, Jaroš Jaroslav   +2 more
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A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation

Journal of Applied Mathematics, 2012
With the aid of symbolic computation, a new extended Jacobi elliptic function expansion method is presented by means of a new ansatz, in which periodic solutions of nonlinear evolution equations, which can be expressed as a finite Laurent series of some ...
Yafeng Xiao, Haili Xue, Hongqing Zhang
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Positive solutions of nonlinear elliptic equations

Applied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, S.P., Yeh, C.C., Wong, F.H.
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Free Vibration Analysis of Nonlinear Structural-Acoustic System with Non-Rigid Boundaries Using the Elliptic Integral Approach

Mathematics, 2020
This study addresses the free vibration analysis of nonlinear structural-acoustic system with non-rigid boundaries. In practice, the boundaries of a panel–cavity system are usually imperfectly rigid.
Yiu-yin Lee
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A symbolic computational approach to finding solutions and conservation laws for (3 + 1)-dimensional modified BBM models

Alexandria Engineering Journal, 2020
In this work three recently introduced (3 + 1)-dimensional nonlinear modified Benjamin-Bona-Mahony equations are studied from the modern group-theoretical analysis standpoint.
Chaudry Masood Khalique, Innocent Simbanefayi   +1 more
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