The extended homogeneous balance method is used to construct exact traveling wave solutions of the Maccari system, in which the homogeneous balance method is applied to solve the Riccati equation and the reduced nonlinear ordinary differential equation. Many exact traveling wave solutions of the Maccari system equation are successfully obtained.

the extended homogeneous balance method is used to construct exacttraveling wave solutions of the maccari system, in which thehomogeneous balance method is applied to solve the riccati equationand the reduced nonlinear ordinary differential equation. many exacttraveling wave solutions of the maccari system equation aresuccessfully obtained.

The classical Lie method is applied to a nonisospectral problem associated with system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551). Identification the symmetries provides set reductions that give rise different nontrivial spectral problems 1+1 dimensions. form which parameter Lax pair introduced carefully described.

the WWW Cláudio Roberto Palombo, DDS, Mário Maccari Filho, DDS, Msc, Renato M.E. Sabbatini, PhD and Charles L. Halstead, DDS, MSD 1 Center for Biomedical Informatics, State University of Campinas, Brazil, 2 Faculty of Odontology, Pontificial Catholic University of Campinas, Campinas, 3 Center for Biomedical Informatics, State University of Campinas, 4 University of Virginia Medical Center, Char...

In this paper, the integrable (2+1)-dimensional Maccari system (MS), which can model many complex phenomena in hydrodynamics, plasma physics and nonlinear optics, is investigated by variational approach (VA). This proposed that based on theory Ritz-like method construct explicit solutions via stationary conditions only taking two steps. Finally, dynamic behaviors of are exhibited choosing appro...