Nonlinear balance and exchange of stability in dynamics of solitons, peakons, ramps/cliffs and leftons in a 1+1 nonlinear evolutionary pde
نویسندگان
چکیده
We study exchange of stability in the dynamics of solitary wave solutions under changes in the nonlinear balance in a 1+1 evolutionary partial differential equation related both to shallow water waves and to turbulence. We find that solutions of the equation mt + umx + b uxm = ν mxx with m = u − α2uxx for fluid velocity u(x, t) change their behavior at the special values b = 0,±1,±2,±3. PACS numbers: 11.10.Lm, 03.50.-z, 05.45.Yv, 05.45.-a
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