periodic-wave solutions
Periodic wave solutions of the two dimensional Toda lattice equation by a direct method
... construct periodic-wave solutions in Riemann theta functions of equation ...two-periodic solutions are obtained and derived by conducting a suitable asymptotic analysis; furthermore, we ...
14
Quasi periodic wave solutions and asymptotic behavior for an extended \((2+1)\) dimensional shallow water wave equation
... algebro-geometric solutions to many ...quasi-periodic solutions of nonlinear equations [, ], where the quasi-periodic wave solutions of the Korteweg-de Vries equation (KdV ...
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Bilinear approach to quasi-periodic wave solutions of the Kersten-Krasil’shchik coupled KdV-mKdV system
... solitary wave solutions and doubly periodic wave solutions []; Qin et ...quasi-periodic wave solutions for the system ...two-periodic wave ...
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Bilinear approach to soliton and periodic wave solutions of two nonlinear evolution equations of Mathematical Physics
... N-soliton solutions of the (3 + 1)-dimensional potential-YTSF equation under constraint ...function, periodic wave solutions have been ...soliton solutions have been derived from their ...
10
Exact solitary wave and quasi periodic wave solutions of the KdV Sawada Kotera Ramani equation
... solitary wave solutions and quasi-periodic traveling wave solutions of the KdV-Sawada-Kotera-Ramani equation by using a method which we introduce here for the first ...traveling ...
12
Dark soliton and periodic wave solutions of nonlinear evolution equations
... exact solutions for b = – and b = – using a modification of the truncated expansion ...method. Solutions are derived in a more straightforward manner and cast into a simpler form, and some new types of ...
11
Exact solitary and periodic-wave solutions of the K(2,2) equation (defocusing branch)
... implicit periodic and solitary travelling- wave solutions of the Degasperis–Procesi (DP) equation in [8, Section ...delivers solutions in which the dependent and independent variable are given ...
20
Unstable periodic wave solutions of Nerve Axion diffusion equations
... It is known that for u, if > 0 is sufficiently small, equation Gu,w I.I has two types of wave solutions, namely, pulse travelling wave solutions and A travelling wave solution is a solut[r] ...
10
New Periodic Solitary Wave Solutions for a Variable Coefficient Gardner Equation from Fluid Dynamics and Plasma Physics
... The structure of this paper is organized as follows; In Section 2, with symbolic computation, the bilinear form of Equation (1) are obtained. In order to illustrate the proposed method, we consider for a ...
5
Some New Exact Traveling Wave Solutions for the Generalized Benney Luke (GBL) Equation with Any Order
... traveling wave solutions are obtained which singular solutions, triangular periodic wave solutions and jacobian elliptic function ...nonlinear wave equations in ...
6
Some New Traveling Wave Solutions of Modified Camassa Holm Equation by the Improved G'/G Expansion Method
... exact solutions of nonlinear partial differential ...exact solutions, including the solitary wave solutions, shock wave solutions and periodic wave solutions ...
23
F-Expansion method for the nonlinear generalized Ito System
... the periodic wave solutions expressed by various Jacobi elliptic functions, Weierstrass elliptic function, triangle functions, hyperbolic functions and other type of functions for the nonlinear ...
28
Weakly nonlinear waves in magnetized plasma with a slightly non Maxwellian electron distribution Part 2, Stability of cnoidal waves
... simply expressed as functions extended by periodicity. Such solutions have already been categorized for the Schamel equation (which contains the single half-order nonlinearity) in O’Keir and Parkes (1997). Schamel ...
15
Travelling waves in a model of quasi active dendrites with active spines
... dendritic wave propagation in spine-studded dendritic trees, and importantly it admits exact mathematical ...pulses, periodic travelling waves and irregular wave patterns ...
29
Reducibility of beam equations in higher-dimensional spaces
... Recently, some results were also obtained in higher-dimensional systems by KAM method. In , Eliasson and Kuksin [] have proved that the following linear d- dimensional Schrödinger equation with an x-periodic ...
22
The Periodic Solitary Wave Solutions for the (2 + 1) Dimensional Fifth Order KdV Equation
... the periodic solitary wave solutions for the (2 + 1)-dimensional fifth-order KdV equation by virtue of the Hirota bilinear ...analytic solutions for such a model are obtained and verified with ...
6
Small-amplitude nonlinear periodic oscillations in a suspension bridge system
... of periodic oscillations in for suspension bridge model have attracted much attention [5, ...amplitude periodic oscillations for a single suspension bridge equation (a beam equation) via Leray–Schauder ...
35
Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations
... Theorem 4.6, γ(t) is a homoclinic. The second case shows that γ(t) is a part of a heteroclinic. If the second case occurs, then each solution of (5.20), which lies in heteroclinic, is bounded. By the Poincaré-Bendixon ...
20
Wave Scattering by Periodic Media
... produce solutions at RW-anomalies using quasi-periodic Green function ...simulate wave-scattering phenomena by periodic media in general geometries irrespectively of the occurrence of ...
105
On periodic one parameter groups of linear operators in a Banach space and applications
... continuous periodic one-parameter group of linear operators in a Banach ...of periodic solutions of a linear differential equation of the nth order with constant coefficients and systems of linear ...
17