Contribution of the Second Order Terms to the Nonlinear Shallow Water Waves

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概要

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• Contribution of tlxe second order terms in the reductive rerturbation theorv hast>een investisated for the nonlinear shallow water waves. The fundamental[ ectua-jj0j)5 are reduced t?o a coupled set of the Korteweg-do Vries equation for thefirst order horizontal velocitv and a linear inhomoseneous actuation for the secondorder arbitrar>r function. Structure of the cour>led set of enuations turns out to bethe same as in the cease of nonlinear ion acoustic wave. A steaclv state solution ofthe coupled set of actuations has been examined in comr>ar'ison with Laiton's3nalysis of the secc?nd order contribution of the Friedrich's expansion for thenonlinear shallow water waves.

• 社団法人日本物理学会の論文
• 1977-01-15

著者

• Ichikawa Yoshi

  Institute Of Plasma Physics Nagoya University

• H Ichikawa

  Institute Of Plasma Physics Nagoya University

• AOYAMA Toshihisa

  Department of Physics and Atomic Energy Research Institute,College of Science and Technology,Nihon U

• Aoyama Toshihisa

  Department Of Physics And Atomic Energy Research Institute College Of Science And Technology Nihon U

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• Nonlinear Transverse Vibrations of Elastic Beams under Tension
• Stochasticity and Symmetry of the Standard Map : Part I. Classical Aspects : New Trends in Chaotic Dynamics of Hamiltonian Systems
• Propagation of Ion Acoustic Cnoidal Wave
• Contribution of Higher Order Terms in the Reductive Perturbation Theory, : II. A Case of Strongly Dispersive Wave
• Remarks on the Theory of Perturbed Solitons (Theory of Nonlinear Waves)
• New Integrable Nonlinear Evolution Equations
• Contribution of the Second Order Terms to the Nonlinear Shallow Water Waves
• Stochastic Motion of Particles in Tandem Mirror Devices
• Cusp Soliton of a New Integrable Nonlinear Evolution Equation
• Stochastic Diffusion in Tandem Mirror Devices

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