Yadawindra College of Engineering, Punjabi University Guru Kashi Campus, Talwandi Sabo-151302, Punjab, India
Abstract
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.
Singh, M. (2015). Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension. Computational Methods for Differential Equations, 3(2), 134-146.
MLA
Manjit Singh. "Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension". Computational Methods for Differential Equations, 3, 2, 2015, 134-146.
HARVARD
Singh, M. (2015). 'Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension', Computational Methods for Differential Equations, 3(2), pp. 134-146.
VANCOUVER
Singh, M. Multi soliton solutions, bilinear Backlund transformation and Lax pair of nonlinear evolution equation in (2+1)-dimension. Computational Methods for Differential Equations, 2015; 3(2): 134-146.
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