Solitary waves, periodic peakons and compactons on foliations in a Hertz chain model

For a Hertz chain model, by using the methodology of dynamical systems and singular traveling wave theory developed Li Chen [9] to its system defined on two-dimensional foliations in three-dimensional space, under different parameter conditions, existence all possible bounded solutions (solitary solutions, periodic peakons, compactons) is proved. nonlinearity exponent $ k = \frac32, 2 3 as many 23 exact explicit parametric representations above-mentioned are obtained.