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Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 3، شماره 2، تیر 2015، صفحه 134-146 اصل مقاله (170.88 K) | ||
| نوع مقاله: Research Paper | ||
| نویسنده | ||
| Manjit Singh* | ||
| Yadawindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo-151302, Punjab, India | ||
| چکیده | ||
| As an application of Hirota bilinear method, perturbation expansion truncated at different levels is used to obtain exact soliton solutions to (2+1)-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. | ||
| کلیدواژهها | ||
| Soliton solutions؛ Bilinear Backlund transformations؛ Lax pairs؛ Perturbation expansion | ||
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