Chirped solitary and traveling wave solutions for the Kundu-Mukherjee-Naskar equation using the Jacobi elliptic function expansion method

In our paper we apply the Jacobi elliptic function expansion method to obtain solutions to the Kundu-Mukherjee-Naskar equation, which is asymmetric in the two transverse directions. We obtain that the solutions contain a quadratic dependency in the phase, i.e. chirp, in one of the two directions. Unlike in previous applications of the method, the chirp does not affect the amplitude of the solutions.