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SOLITON EXCITATIONS AND PERIODIC WAVES WITHOUT DISPERSION RELATION IN (2+1)-DIMENSIONAL DISPERSIVE LONG WAVE EQUATION
The work was supported by the National Outstanding Youth Foundation of China (No. 19925522), and the National Natural Science Foundation of Zhejiang Province of China.
https://doi.org/10.1142/9789812795366_0001Cited by:0 (Source: Crossref)
Abstract:
Using the nonstandard and standard truncations of a modified Conte's invariant Painlevé expansion for the dispersive long wave equation system, two types of soliton excitations without any dispersive relations are found. Periodic waves expressed by Jacobi elliptic functions are found by the truncations of a special extended Painlevé expansion. The soliton solutions are special cases of the corresponding two of the given periodic solutions. The dispersion relations of the solutions are crucially dependent on the boundary conditions.
