A Series of Variable Separation Solutions and New Soliton Structures of (2+1)-Dimensional Korteweg-de Vries Equation |
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Authors: | XU Chang-Zhi |
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Affiliation: | Department of Physics, Jinhua Education College, Jinhua 321000, China |
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Abstract: | Variable separation approach is introduced to solve the (2 1)-dimensional KdV equation. A series of variable separation solutions is derived with arbitrary functions in system. We present a new soliton excitation model (24). Based on this excitation, new soliton structures such as the multi-lump soliton and periodic soliton are revealed by selecting the arbitrary function appropriately. |
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Keywords: | variable separation approach (2 1)-dimensional KdV equation new soliton excitation |
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