Complexiton solutions to the asymmetric Nizhnik–Novikov–Veselov equation
- 30 April 2019
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics B
- Vol. 33 (11)
Abstract
We present new complexiton solutions to the (2 + 1)-dimensional asymmetric Nizhnik–Novikov–Veselov (aNNV) equation by application of the Hirota direct method and the linear superposition principle. We first find hyperbolic function solutions to the corresponding bilinear equation and consequently derive the so-called complexitons. In particular, we construct nonsingular complexiton solutions from positive complexiton solutions of the bilinear form of the nonlinear equation. Finally, we give some illustrative examples and a few concluding remarks.Keywords
This publication has 36 references indexed in Scilit:
- Complexiton solutions to soliton equations by the Hirota methodJournal of Mathematical Physics, 2017
- Wronskian and linear superposition solutions to generalized KP and BKP equationsNonlinear Dynamics, 2017
- Applications of linear superposition principle to resonant solitons and complexitonsComputers & Mathematics with Applications, 2017
- Linear superposition principle applying to Hirota bilinear equationsComputers & Mathematics with Applications, 2011
- A second Wronskian formulation of the Boussinesq equationNonlinear Analysis, 2009
- Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitonsInverse Problems, 2007
- Nonsingular positon and complexiton solutions for the coupled KdV systemPhysics Letters A, 2006
- Complexiton solutions to integrable equationsNonlinear Analysis, 2005
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutionsTransactions of the American Mathematical Society, 2004
- Complexiton solutions to the Korteweg–de Vries equationPhysics Letters A, 2002