Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (۲+۱)-dimension
سال انتشار: 1394
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 194
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شناسه ملی سند علمی:
JR_CMDE-3-2_006
تاریخ نمایه سازی: 15 اسفند 1401
چکیده مقاله:
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.
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نویسندگان
Manjit Singh
Yadawindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo-۱۵۱۳۰۲, Punjab, India