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ABUNDANT LOCALIZED COHERENT STRUCTURES FOR THE (2+1)-DIMENSIONAL LONG DISPERSIVE WAVE SYSTEM 被引量:1

ABUNDANT LOCALIZED COHERENT STRUCTURES FOR THE (2+1)-DIMENSIONAL LONG DISPERSIVE WAVE SYSTEM
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摘要 In the present paper, a simple and direct method was proposed to solve the (2+ 1)-dimensional long dispersive wave equations. A variable-dependent transformation was intorducedto convert the equations into the simpler forms, which are coupled and linear partial differentialequations, then obtain its general solution. Some special types of the localized excitations, suchas oscillating dromion, multi-solitoff, multi-dromion, multi-lump and multi-ring soliton solutionsare derived by selecting the arbitrary functions appropriately. In the present paper, a simple and direct method was proposed to solve the (2+ 1)-dimensional long dispersive wave equations. A variable-dependent transformation was intorducedto convert the equations into the simpler forms, which are coupled and linear partial differentialequations, then obtain its general solution. Some special types of the localized excitations, suchas oscillating dromion, multi-solitoff, multi-dromion, multi-lump and multi-ring soliton solutionsare derived by selecting the arbitrary functions appropriately.
出处 《Journal of Hydrodynamics》 SCIE EI CSCD 2003年第5期75-80,共6页 水动力学研究与进展B辑(英文版)
基金 ProjectsupportedbytheFoundationof151TalentprojectofZhejiangProvinceandtheNaturalScienceFoundationofZhejiangProvince.(GrantNo :10 0 0 39)
关键词 variable separation approach (2 + l)-dimen-sional long dispersive wave (LDW)equations general solution localized coherent structure variable separation approach (2 + l)-dimen-sional long dispersive wave (LDW)equations general solution localized coherent structure
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