EDITORIAL. Special issue devoted to the International Conference on Complexity of Nonlinear Waves. Highlights in the research into complexity of nonlinear waves; pp. 61–65

Nonlinear wave motion and complexity; pp. 66–71

From the propagation of phase-transition fronts to the evolution of the growth plate in long bones; pp. 72–78

Hierarchical structures in complex solids with microscales; pp. 79–86

Models for essentially nonlinear strain waves in materials with internal structure; pp. 87–92

The generalized dressing method with applications to the integration of variable-coefficient Toda equations; pp. 93–98

Waves in materials with microstructure: numerical simulation; pp. 99–107

Nonlinear signal processing for ultrasonic imaging of material complexity; pp. 108–117

On the propagation of solitary waves in Mindlin-type microstructured solids; pp. 118–125

Thermodynamic consistency of third grade finite strain elasticity; pp. 126–132

On periodic waves governed by the extended Korteweg–de Vries equation; pp. 133–138

Interaction of solitary pulses in active dispersive–dissipative media; pp. 139–144

On perturbative solutions for nonlinear waves in inhomogeneous materials; pp. 145–149

Asymptotics and stabilization for dynamic models of nonlinear beams; pp. 150–155

Towards identification of areas of reduced risk in the Gulf of Finland, the Baltic Sea; pp. 156–165

Travelling water waves along a quartic bottom profile; pp. 166–171

Energy budget in a dispersive model for undular bores; pp. 172–181

Variations in extreme wave heights and wave directions in the north-eastern Baltic Sea; pp. 182–192