Single peak solitary wave solutions for the generalized KPaMEW (2, 2) equation under boundary condition

The qualitative theory of differential equations is applied to the KPaMEW (2, 2) equation (q t + (q 2) x + (q 2) xxt) x + q yy = 0 . Our procedure shows that the KPaMEW (2, 2) equation either has the regular peakon soliton, cuspon soliton and smooth soliton solutions when sitting on the non-zero con...

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Bibliographic Details
Published in:Applied mathematics and computation 2013-05, Vol.219 (17), p.8979-8990
Main Authors: Wei, Minzhi, Tang, Shengqiang, Fu, Hualiang, Chen, Guangxi
Format: Article
Language:English
Subjects:
Boundary conditions
Computation
Computer simulation
Differential equations
Mathematical analysis
Mathematical models
Solitary waves
Solitons
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Summary:The qualitative theory of differential equations is applied to the KPaMEW (2, 2) equation (q t + (q 2) x + (q 2) xxt) x + q yy = 0 . Our procedure shows that the KPaMEW (2, 2) equation either has the regular peakon soliton, cuspon soliton and smooth soliton solutions when sitting on the non-zero constant pedestal lim I34 a +/- a q (I34) = A aNB 0 , or possesses compacton solutions only when lim I34 a +/- a q (I34) = A = 0 . In particular, we present mathematical analysis and numerical simulations are provided for those peakon, cuspon, compacton, loop soliton and smooth soliton solutions.
ISSN:0096-3003