ANALYSIS OF RESONANCE OF SOLITARY WAVE TRAINS USING FULLY NONLINEAR AND STRONGLY DISPERSIVE WAVE EQUATIONS
نویسندگان
چکیده
منابع مشابه
Complexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
In this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. The traveling wave hypothesis yields complexiton solutions. Subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. The constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
متن کاملcomplexition and solitary wave solutions of the (2+1)-dimensional dispersive long wave equations
in this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. the traveling wave hypothesis yields complexiton solutions. subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. the constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...
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Contents Preface ix Chapter 1. Ordinary differential equations 1 1.1. General theory 1 1.2. Gronwall's inequality 7 1.3. Bootstrap and continuity arguments 14 1.4. Noether's theorem 18 1.5. Monotonicity formulae 25 1.6. Linear and semilinear equations 28 1.7. Completely integrable systems 35 Chapter 2. Constant coefficient linear dispersive equations 41 2.1. The Fourier transform 47 2.2. Fundam...
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We generalize the approach first proposed by Manton [Nucl. Phys. B 150, 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations that support such localized solutions. The approach is illustrated using as examples solitons in the Korteweg-de Vries equation, standing waves in the nonlinear Schrödinger equation, and kinks as well as breathers of the sin...
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ژورنال
عنوان ژورنال: Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering)
سال: 2016
ISSN: 1883-8944,1884-2399
DOI: 10.2208/kaigan.72.i_7