Publication Date:
2011-06-15
Description:
We present the bi-Hamiltonian structure and Lax pair of the equation ρ t = bu x +( 1/2 )[(u 2 −u x 2 )ρ] x , where ρ = u − u xx and b = const , which guarantees its integrability in the Lax pair sense. We study nonsmooth soliton solutions of this equation and show that under the vanishing boundary condition u → 0 at the space and time infinities, the equation has both “W/M-shape” peaked soliton (peakon) and cusped soliton (cuspon) solutions. Content Type Journal Article Pages 584-589 DOI 10.1007/s11232-011-0044-8 Authors Zhijun Qiao, Department of Mathematics, The University of Texas-Pan American, Edinburg, Texas, USA Xianqi Li, Department of Mathematics, The University of Texas-Pan American, Edinburg, Texas, USA Journal Theoretical and Mathematical Physics Online ISSN 1573-9333 Print ISSN 0040-5779 Journal Volume Volume 167 Journal Issue Volume 167, Number 2
Print ISSN:
0040-5779
Topics:
Mathematics
,
Physics
