Single peak solitary wave solutions for the osmosis K ( 2 , 2 ) equation under inhomogeneous boundary condition

The qualitative theory of differential equations is applied to the K ( 2 , 2 ) equation with osmosis dispersion. Smooth, peaked and cusped solitary wave solutions of the osmosis K ( 2 , 2 ) equation under inhomogeneous boundary condition are obtained. The parametric conditions of existence of the sm...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications Vol. 369; no. 2; pp. 758 - 766
Main Authors: Chen, Aiyong, Li, Jibin
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Inc 01.09.2010
Elsevier
Subjects:
Cuspon
Exact sciences and technology
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis in abstract spaces
Numerical analysis. Scientific computation
Ordinary differential equations
Osmosis [formula omitted] equation
Peakon
Sciences and techniques of general use
Single peak solitary wave
Solitary wave
Solitary wave
Single peak solitary wave
Cuspon
Peakon
Osmosis K ( 2 , 2 ) equation
Existence condition
Numerical analysis
Mathematical analysis
Differential equation
Analytical method
Osmosis K(2,2) equation
Boundary condition
ISSN:0022-247X, 1096-0813
Online Access:Get full text
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Summary:The qualitative theory of differential equations is applied to the K ( 2 , 2 ) equation with osmosis dispersion. Smooth, peaked and cusped solitary wave solutions of the osmosis K ( 2 , 2 ) equation under inhomogeneous boundary condition are obtained. The parametric conditions of existence of the smooth, peaked and cusped solitary wave solutions are given by using the phase portrait analytical technique. Asymptotic analysis and numerical simulations are provided for smooth, peaked and cusped solitary wave solutions of the osmosis K ( 2 , 2 ) equation.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2010.04.018