TY - JOUR
TI - Optical modelling of the space-time fractional Eckhaus equation
AU - Körpinar Zeliha
AU - Korpinar Talat
AU - Inc Mustafa
JN - Thermal Science
PY - 2023
VL - 27
IS - 101
SP - 389
EP - 399
PT - Article
AB - In this paper, the space-time fractional Eckhaus equation is considered and  solved using the a direct method (Khater method) to obtain exact solutions.  This meth­od produces more solutions when compared to other known methods.  The real solutions of this equation are classified as travelling wave, kink,  periodic and sol­itary wave solutions. These solutions are searched with the  help of the fractional conformable derivative sense. Some graphs and tables  are drawn to interpret the solutions and method. With the interpretation of  the results, it is explained that the method used is a reliable, effective,  powerful and easily applicable technique for obtaining the solutions of  fractional differential equations classes in many fields.