Optical solutions of cold bosonic atoms in a zig-zag optical lattice

摘要: In this paper, using the continuum approximation and from a discrete equation governing system of cold bosonic atoms in zig-zag optical lattices derived an domain. With two different methods, namely $$exp_a$$ function method Hyperbolic method, found many solutions considered. These are trigonometric solutions. Discrete representations have been done to observe their behaviors. results will help understand dynamics several other systems. More importantly, article Lagrangian stability condition model studied. The methods employed here very simple concise.