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A series of new soliton-like solutions and double-like periodic solutions of a \((2 + 1)\)-dimensional dispersive long wave equation. (English) Zbl 1069.35054

Summary: We extend the algebraic method proposed by E. Fan and A. Darwish [Chaos Solitons Fractals 20, 609–613 (2004; Zbl 1049.35167)] and the improved extended tanh method by E. Yomba [ibid. 20, 1135–1139 (2004; Zbl 1049.35154)] to uniformly construct a series of soliton-like solutions and double-like periodic solutions for nonlinear partial differential equations. Some new soliton-like solutions and double-like periodic solutions of a \((2+1)\)-dimensional dispersive long wave equation are obtained.

MSC:

35Q35 PDEs in connection with fluid mechanics
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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