The discrete potential Boussinesq equation and its multisoliton solutions

Details The discrete potential Boussinesq equation and its multisoliton solutions The discrete potential Boussinesq equation and its multisoliton solutions

2009-08-12

arxiv.org/abs/0908.1800v4

An International Journal, 1563-504X, Volume 89, Issue 4, 2010, Pages 593 -- 609

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages,To appear in Applicable Analysis, Special Issue of Continuous and Discrete Integrable Systems

Scientific paper

10.1080/00036810903569473

An alternate form of discrete potential Boussinesq equation is proposed and its multisoliton solutions are constructed. An ultradiscrete potential Boussinesq equation is also obtained from the discrete potential Boussinesq equation using the ultradiscretization technique. The detail of the multisoliton solutions is discussed by using the reduction technique. The lattice potential Boussinesq equation derived by Nijhoff et al. is also investigated by using the singularity confinement test. The relation between the proposed alternate discrete potential Boussinesq equation and the lattice potential Boussinesq equation by Nijhoff et al. is clarified.

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