Manjit Singh - Yadawindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo-۱۵۱۳۰۲, Punjab, India

As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (۲+۱)-dimensional nonlinear evolution equation in much simpler way in comparison to other existing methods. We have derived bilinear form of nonlinear evolution equation and using this bilinear form, bilinear Backlund transformations and construction of associated linear problem or Lax pair are presented in straightforward manner and finally for proposed nonlinear equation, explicit one, two and three soliton solutions are also obtained.

Soliton solutions, Bilinear Backlund transformations, Lax pairs, Perturbation expansion