Journal
NONLINEAR DYNAMICS
Volume 85, Issue 2, Pages 731-737Publisher
SPRINGER
DOI: 10.1007/s11071-016-2718-0
Keywords
Boussinesq equation; Dispersion relation; Soliton solutions; Complex soliton solutions
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We investigate two Boussinesq equations where the fourth-order terms come with minus and plus signs. We show that the Boussinesq equation with minus fourth-order term gives multiple soliton solutions, whereas the model with the plus fourth-order term gives multiple complex soliton solutions. We show that the two models are characterized by real and complex dispersion relations, respectively. Moreover, we derive other solitonic, singular, and periodic solutions for each model.
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