Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation

Details Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation

2002-10-07

arxiv.org/abs/nlin/0210012v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, 6 figures

Scientific paper

10.1088/0256-307X/20/9/301

Darboux transformation is developed to systematically find variable separation solutions for the Nizhnik-Novikov-Veselov equation. Starting from a seed solution with some arbitrary functions, the once Darboux transformation yields the variable separable solutions which can be obtained from the truncated Painlev\'e analysis and the twice Darboux transformation leads to some new variable separable solutions which are the generalization of the known results obtained by using a guess ansatz to solve the generalized trilinear equation.

Affiliated with

Also associated with

No associations

Rating

Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Darboux Transformation and Variable Separation Approach: the Nizhnik-Novikov-Veselov equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-549082