Abstract
Kolmogorov-Spiegel-Sivashinsky (KSS) equation has been derived to model large-scale structures arising in two-dimensional turbulence [ Nucl. Phys. (Proc. Suppl.) 2, 453 (1987)]. In the present study, we have obtained its periodic, quasi-periodic and solitary wave solutions analytically to a certain degree of approximation by discarding the linear damping term. Normal form analysis succeeds to capture Hopf, Neimark and infinite-period bifurcations before the onset of chaos. Melnikov analysis has been carried out to identify the homoclinic bifurcation. Transient spatio-temporal chaos has been observed, by constructing the Poincaré-section and it has been identified by computing Lyapunov Characteristic Exponents (LCE).
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