Novel Wronskian Condition and New Exact Solutions to a (3+1)-Dimensional Generalized KP Equation
吴建平, 耿献国
Abstract
吴建平, 耿献国
Abstract
Utilizing the Wronskian technique, a combined Wronskian condition is established for a(3+1)-dimensional generalized KP equation. The generating functions for matrix entries satisfy a linear system of new partial diferential equations. Moreover, as applications, examples of Wronskian determinant solutions, including N-soliton solutions,periodic solutions and rational solutions, are computed.
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Utilizing the Wronskian technique, a combined Wronskian condition is established for a(3+1)-dimensional generalized KP equation. The generating functions for matrix entries satisfy a linear system of new partial diferential equations. Moreover, as applications, examples of Wronskian determinant solutions, including N-soliton solutions,periodic solutions and rational solutions, are computed.
Key concepts: Wronskian, Mathematics, Matrix (chemical analysis), Applied mathematics, Variation of parameters, Mathematical analysis, Differential equation, Materials science