Solitary Wave Solutions to a Class of Modified Green–Naghdi Systems
نویسندگان
چکیده
منابع مشابه
Solitary-Wave Solutions to Boussinesq Systems with Large Surface Tension
Considered herein are certain Boussinesq systems with the presence of large surface tension. The existence and stability of solitary waves are established by using techniques introduced earlier by Buffoni [7] and Lions [9, 10].
متن کاملComplexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
In this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. The traveling wave hypothesis yields complexiton solutions. Subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. The constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
متن کاملMultiple Solitary Wave Solutions of Nonlinear Schrödinger Systems
Consider the N -coupled nonlinear elliptic system (P) >< >: −∆Uj + Uj = μU j + βUj X k 6=j U k in Ω, Uj > 0 in Ω, Uj = 0 on ∂Ω, j = 1, . . . , N. where Ω is a smooth and bounded (or unbounded if Ω is radially symmetric) domain in Rn, n ≤ 3. By using a ZN index theory, we prove the existence of multiple solutions of (P) and show the dependence of multiplicity results on the coupling constant β.
متن کاملThe stability of solitary wave solutions to a modi
The Zakharov-Kuznetsov equation governs the behaviour of weakly nonlinear ion-acoustic waves in a plasma comprising cold ions and hot isothermal electrons in the presence of a uniform magnetic eld. We consider the more realistic situation in which the electrons are non-isothermal. With an appropriate modiied form of the electron number density proposed by Schamel (1973), we show that the reduct...
متن کاملNew study to construct new solitary wave solutions for generalized sinh- Gordon equation
In this work, we successfully construct the new exact traveling wave solutions of the generalized Sinh–Gordon equation by new application of the homogeneous balance method. The idea introduced in this paper can be applied to other nonlinear evolution equations.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Fluid Mechanics
سال: 2017
ISSN: 1422-6928,1422-6952
DOI: 10.1007/s00021-017-0355-0