Abstract
The extended mapping method with symbolic computation is developed to obtain exact periodic wave solutions to the generalized Nizhnik-Novikov-Veselov equation. Limit cases are studied and new solitary wave solutions and triangular periodic wave solutions are obtained. The method is applicable to a large variety of non-linear partial differential equations, as long as odd-and even-order derivative terms do not coexist in the equation under consideration.
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Peng, YZ. Exact periodic wave solutions to the generalized Nizhnik-Novikov-Veselov equation. Pramana - J Phys 64, 159–169 (2005). https://doi.org/10.1007/BF02704871
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DOI: https://doi.org/10.1007/BF02704871