Results 291 to 300 of about 458,840 (351)

Periodic travelling-wave solution of brusselator

Acta Mathematicae Applicatae Sinica, 1988
The author firstly gives the conditions such that a quartic algebraic equation has a pair of complex conjugate roots and a pair real roots, and all of the roots have strictly negative real part (Lemma 1-3). With that, he gives the conditions of coefficients of the characteristic equation which enables us to know the existence of the Hopf bifurcation ...
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Numerical calculation of N-periodic wave solutions of the negative-order Korteweg-de Vries equations

Europhysics letters
In this paper, the N-periodic wave solutions of the negative-order Korteweg-de Vries equations are presented, which can be used to describe wave phenomena in the water waves and plasma waves.
Yu Wang, Zhonglong Zhao, Yufeng Zhang
semanticscholar   +1 more source

M-fractional solitons and periodic wave solutions to the Hirota–Maccari system

Modern physics letters B, 2019
In this study, we construct several wave solutions to the nonlinear fractional Hirota–Maccari equation with a truncated M-fractional derivative via the extended sinh-Gordon equation expansion method. The constraint conditions that guarantee the existence
T. Sulaiman, Gulnur Yel, H. Bulut
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Homoclinic breather-wave solutions and doubly periodic wave solutions for coupled KdV equations

Applied Mathematics and Computation, 2011
The paper aims at obtaining exact solutions for a Korteweg-de Vries equation nonlinearly coupled to an extra linear equation, \[ u_t+\alpha u_{xxx} -buu_x +cvv_x=0, \] \[ v_t + dv_{xxx} - euv_x +fu_xv = 0. \] It was shown in previous works that this system admits a large variety of exact solutions in certain particular cases. In this work, the Painlevé
Hong Wang, Da-Quan Xian, Han-lin Chen
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Periodic travelling wave solutions of nonlinear wave equations

Nonlinear Analysis: Theory, Methods & Applications, 1999
Periodic traveling wave solutions to the nonlinear wave equation with periodic boundary condition are considered. A result of Bourgain for the semilinear cubic wave equation is extended.
Shi, Yuming, Li, Ta-tsien, Qin, Tiehu
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N-Solitons, kink and periodic wave solutions for (3 + 1)-dimensional Hirota bilinear equation using three distinct techniques

Zhongguó wùli xuékan, 2019
Hirota bilinear (HB) equation in its (3 + 1)-dimensional form is considered and analyzed. Travelling wave transformation has been employed to reduce the equation into an ordinary differential equation (ODE).
S. Mabrouk, A. S. Rashed
semanticscholar   +1 more source

Periodic wave solutions of the Boussinesq equation

Journal of Physics A: Mathematical and Theoretical, 2007
The Boussinesq equation usually arises in a physical problem as a long wave equation. The present work extends the search of periodic wave solutions for it. The Hirota bilinear method and Riemann theta function are employed in the process. We also analyse the asymptotic property of periodic waves in detail.
Yi Zhang, Ling-ya Ye, Yi-neng Lv, Hai-qiong Zhao   +3 more
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A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations

Communications in Computational Physics, 2019
In this paper, we present an efficient numerical scheme to calculate Nperiodic wave solutions to the Toda-type equations. The starting point is the algebraic condition for having N-periodic wave solutions proposed by Akira Nakamura.
Yingnan Zhang
semanticscholar   +1 more source

Periodic solutions of a quasilinear wave equation

Mathematical Notes, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kondrat'ev, V. A., Rudakov, I. A.
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Periodic solutions of a superlinear wave equation

Nonlinear Analysis: Theory, Methods & Applications, 1997
The paper deals with the existence of periodic solutions of the wave equation \[ u_{tt}- u_{xx}= f(t,x,u),\quad x\in(0,\pi),\;t\in\mathbb{R}, \] \[ u(0,t)= u(\pi,t)= 0,\;t\in\mathbb{R},\quad u(x,t+ 2\pi)= u(x,t),\;x\in (0,\pi),\;t\in\mathbb{R}, \] where \(f(t,x,\xi)= b\xi+ g(t,x,\xi)\) is \(2\pi\)-periodic in \(t\), strictly increasing in \(\xi\) and ...
Ding, Yanheng, Li, Shujie
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