We consider the coupled sine-Gordon equation to obtain new exact traveling wave solutions by using a new function method. This new function method is based on the trial equation phi = f (cos phi). On the other hand, the ...

This study uses two mathematical approaches in constructing dark, bright, kink-type and singular soliton solutions to the Heisenberg ferromagnetic spin chain equation. The (2+1)-dimensional Heisenberg ferromagnetic spin ...

This study constructs bright and singular optical solitons the (2 + 1)-dimensional NLSE and the Hirota equation by utilizing the new sine-Gordon expansion method. The parametric conditions for the existence of valid solitons ...