A systematic method to construct polynomials possessing linear superposition principle and dispersion relation

作者：Wang, Fei^*; Li, Wei; Zhang, HongQing

来源：Applied Mathematics and Computation, 2011, 218(7): 3925-3933.

DOI：10.1016/j.amc.2011.09.040

• Hirota bilinear equations
• N-wave solution
• Linear superposition principle
• Dispersion relation

In this paper, we study the polynomials possessing the linear superposition principle (LSP) and dispersion relation. A necessary and sufficient condition is given for polynomials possessing LSP and dispersion relation. Basing on the condition we proposes a method for constructing that kind of polynomials. As applications of the method some examples are presented.

• 出版日期2011-12-1
• 单位大连理工大学