What this wave business associated with particle says is that If there is a particle which is moving with momentum p, with the particle there is a wave associated.
कणाशी निगडीत हि लाट असे सांगते कि जर कनातं वेगवान हालचाल करणारा कण असेल तर त्या कणात एक तरंग संबद्ध असेल.