Results 11 to 20 of about 58,852 (283)
Solitary wave solutions to the Isobe‐Kakinuma model for water waves [PDF]
Studies in Applied Mathematics, 2020 AbstractWe consider the Isobe‐Kakinuma model for two‐dimensional water waves in the case of a flat bottom. The Isobe‐Kakinuma model is a system of Euler‐Lagrange equations for a Lagrangian approximating Luke's Lagrangian for water waves. We show theoretically the existence of a family of small amplitude solitary wave solutions to the Isobe‐Kakinuma ...
Colin, Mathieu, Higuchi, Tatsuo
openaire +4 more sources
Traveling wave solutions of the Gardner equation in dusty plasmas
Results in Physics, 2022 In this paper, we mainly study the Gardner equation that models the propagation of dust ion acoustic waves. By using the Exp-function method, abundant traveling wave solutions like bright solitary, bright-dark solitary, dark solitary (type-1, type-2 ...
Kang-Jia Wang
doaj +1 more source
Solitary waves due to x(2):x(2) cascading [PDF]
, 1994 Solitary waves in materials with a cascaded x(2):x(2) nonlinearity are investigated, and the implications of the robustness hypothesis for these solitary waves are discussed. Both temporal and spatial solitary waves are studied.
Menyuk, Curtis +2 more
core +2 more sources
New Exact Solitary Wave Solutions of a Coupled Nonlinear Wave Equation
Abstract and Applied Analysis, 2013 By using the theory of planar dynamical systems to a coupled nonlinear wave equation, the existence of bell-shaped solitary wave solutions, kink-shaped solitary wave solutions, and periodic wave solutions is obtained.
XiaoHua Liu, CaiXia He
doaj +1 more source
Metastability of solitary roll wave solutions of the St. Venant equations with viscosity [PDF]
, 2010 We study by a combination of numerical and analytical Evans function techniques the stability of solitary wave solutions of the St. Venant equations for viscous shallow-water flow down an incline, and related models.
Alexander +51 more
core +2 more sources
Results in Physics, 2016 The propagation of hydrodynamic wave packets and media with negative refractive index is studied in a quintic derivative nonlinear Schrödinger (DNLS) equation.
Chen Yue, Aly Seadawy, Dianchen Lu
doaj +1 more source
Experimental study of nonlinear dust acoustic solitary waves in a dusty plasma [PDF]
, 2008 The excitation and propagation of finite amplitude low frequency solitary waves are investigated in an Argon plasma impregnated with kaolin dust particles.
A. Sen +5 more
core +3 more sources
Exact Solutions of Travelling Wave Model via Dynamical System Method
Abstract and Applied Analysis, 2016 By using the method of dynamical system, the exact travelling wave solutions of the coupled nonlinear Schrödinger-Boussinesq equations are studied. Based on this method, the bounded exact travelling wave solutions are obtained which contain solitary wave
Heng Wang, Longwei Chen, Hongjiang Liu
doaj +1 more source
Results in Physics, 2019 Different types of soliton wave solutions for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq equations are investigated via the solitary wave ansatz method.
D. Lu +5 more
doaj +1 more source
Regular and Singular Pulse and Front Solutions and Possible Isochronous Behavior in the Short-Pulse Equation: Phase-Plane, Multi-Infinite Series and Variational Approaches [PDF]
, 2014 In this paper we employ three recent analytical approaches to investigate the possible classes of traveling wave solutions of some members of a family of so-called short-pulse equations (SPE).
Choudhury, A. Ghose +4 more
core +1 more source