Results 281 to 290 of about 458,840 (351)

Abundant explicit periodic wave solutions and their limit forms to space‐time fractional Drinfel'd–Sokolov–Wilson equation

Mathematical methods in the applied sciences, 2021
In this paper, we exploit the generalized bifurcation method to study space–time fractional Drinfel'd–Sokolov–Wilson equation and derive its various new exact explicit periodic wave solutions.
Zhenshu Wen, Huijun Li, Yanggeng Fu
semanticscholar   +1 more source

Traveling Wave Solutions of the Kawahara Equation Joining Distinct Periodic Waves

Journal of Nonlinear Science, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Patrick Sprenger, Thomas J. Bridges, Michael Shearer   +2 more
openaire   +3 more sources

Wronskian, Pfaffian and periodic wave solutions for a $$(2 + 1)$$ ( 2 + 1 ) -dimensional extended shallow water wave equation

Nonlinear Dynamics, 2017
Qian-Min Huang
exaly   +2 more sources

Periodic wave solutions and stability analysis for the KP-BBM equation with abundant novel interaction solutions

Physica Scripta, 2020
This paper aims at investigating periodic wave solutions for the (2+1)-dimensional KP-BBM equation, from its bilinear form, obtained using the Hirota operator. Two major cases were studied from two different ansatzes.
J. Manafian, O. Ilhan, A. Alizadeh
semanticscholar   +1 more source

Periodic kink-wave and kinky periodic-wave solutions for the Jimbo–Miwa equation

Physics Letters A, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dai, Zhengde, Liu, Jun, Zeng, Xiping, Liu, Zhenjiang   +3 more
openaire   +1 more source

Multiplicity of periodic solutions of nonlinear wave equations

Nonlinear Analysis: Theory, Methods & Applications, 2004
The goal of the present paper is to complete the description of the small amplitude periodic solutions of (1) \[ u_{tt}-u_{xx}+f(u)=0\quad u(t,0)=u(t,\pi)=0,\tag{1} \] where \(f(0)=f'(0)=0\). To this end the authors prove ``optimal'' multiplicity results, finding the minimal periods of the solutions and showing their regularity.
Berti, M., Bolle, P.
openaire   +2 more sources

Periodic wave solutions and stability analysis for the (3+1)-D potential-YTSF equation arising in fluid mechanics

International Journal of Computational Mathematics, 2020
This paper aims at investigating the periodic wave solutions for the (3+1)-dimensional potential-Yu–Toda–Sasa–Fukuyama equation, from its bilinear form, obtained using the Hirota operator. Two major cases were studied from two different ansatzes. The 3D,
J. Manafian, O. Ilhan, H. Ismael, S. Mohammed, Saadat Mazanova   +4 more
semanticscholar   +1 more source

Periodic solutions of second-order wave equations. I.

Ukrainian Mathematical Journal, 1987
[For part I see ibid. 38, 505-511 (1986); translation from Ukr. Mat. Zh. 38, No.5, 593-600 (1986; Zbl 0632.34035).] The existence of classical periodic solutions of the problem \[ (1)\quad u_{tt}-u_{xx}=g(x,t),\quad ...
Mitropol'skij, Yu. A., Khoma, G. P.
openaire   +5 more sources

Resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation

Physica Scripta, 2020
In this paper, we study resonant solitary wave and resonant periodic wave solutions of the Kudryashov-Sinelshchikov equation. Based on the Hirota bilinear form, we obtain multi-solitary wave solutions.
Yuan Jin, Ai-Hua Chen
semanticscholar   +1 more source

Time Periodic Solutions for the Nonlinear Wave Equation with Long Minimal Period

SIAM Journal on Mathematical Analysis, 2006
We prove existence and multiplicity of small amplitude periodic solutions for the wave equation with small “mass” and odd nonlinearity. Such solutions bifurcate from resonant finite dimensional invariant tori of the fourth order Birkhoff normal form of the associated Hamiltonian system.
Biasco L., Di Gregorio L.
openaire   +2 more sources