摘要Two classes of periodic wave solutions to the (3+1)-dimensional soliton equation are derived by employing the Hirota bilinear method and theta function identities. These solutions are expressed in terms of Riemann theta functions of genus one and can be converted into an elliptic function format, both their long wave limit and extremum value are discussed in detail.
Abstract:Two classes of periodic wave solutions to the (3+1)-dimensional soliton equation are derived by employing the Hirota bilinear method and theta function identities. These solutions are expressed in terms of Riemann theta functions of genus one and can be converted into an elliptic function format, both their long wave limit and extremum value are discussed in detail.
WANG Jun-Min. Periodic Wave Solutions to a (3+1)-Dimensional Soliton Equation[J]. 中国物理快报, 2012, 29(2): 20203-020203.
WANG Jun-Min. Periodic Wave Solutions to a (3+1)-Dimensional Soliton Equation. Chin. Phys. Lett., 2012, 29(2): 20203-020203.
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