An integrable equation with nonsmooth solitons |
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Authors: | Zhijun Qiao Xianqi Li |
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Institution: | 1.Department of Mathematics,The University of Texas-Pan American,Edinburg,USA |
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Abstract: | We present the bi-Hamiltonian structure and Lax pair of the equation ρt = bux+(1/2)(u
2
−ux
2
)ρ]x, where ρ = u − uxx 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. |
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Keywords: | |
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