inhomogeneous boundary condition
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scholarly journals Single Peak Solitons for the Boussinesq-Like B(2,2) Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Lina Zhang ◽  
Shumin Li ◽  
Aiyong Chen
Keyword(s):  
Boundary Condition ◽  
Asymptotic Behavior ◽  
Numerical Simulations ◽  
Soliton Solutions ◽  
Single Peak ◽  
Inhomogeneous Boundary Condition

The nonlinear dispersive Boussinesq-like B(2,2) equation utt+(u2)xx−(u2)xxxx=0, which exhibits single peak solitons, is investigated. Peakons, cuspons and smooth soliton solutions are obtained by setting the B(2,2) equation under inhomogeneous boundary condition. Asymptotic behavior and numerical simulations are provided for these three types of single peak soliton solutions of the B(2,2) equation.

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