Kinematics of waves interactions in undular frames

Mironov Bettin

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MIRONOV, Bettin. Kinematics of waves interactions in undular frames. In: Moldavian Journal of the Physical Sciences, 2005, nr. 3(4), pp. 367-380. ISSN 1810-648X.

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Moldavian Journal of the Physical Sciences

Numărul 3(4) / 2005 / ISSN 1810-648X /ISSNe 2537-6365

Kinematics of waves interactions in undular frames

Pag. 367-380

Mironov Bettin

Technical University of Moldova

Disponibil în IBN: 17 decembrie 2013

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In this paper the concept of undular frame is defined as a system of tools consisting of waves, having the same nature as observed waves. Such definition of used tools set is equivalent to the problem about behavior and self-organizing of waves in absence of heterogeneous objects. The theorem has proved that the velocity of signal propagation in medium does not depend on undular frame selected. The location of undular frames cannot be determined relatively to the medium-carrier of waves. Between undular frames the principle of relativity is completely observed, is not possible to distinguish any undular frame. If the waves interactions are considered in undular frames, then there are gained not only trivial solutions corresponding to a principle of superposition, but also solutions, which describe interactions between waves as between mechanical particles. At the interaction of stable standing wave with the traveling wave the quantization of the latter takes place.

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<cfAbstr cfLangCode='EN' cfTrans='o'>In this paper the concept of undular frame is defined as a system of tools consisting of 

waves,  having  the  same  nature  as  observed  waves.  Such  definition  of  used  tools  set  is 
equivalent  to  the  problem  about  behavior  and  self-organizing  of  waves  in  absence  of 
heterogeneous  objects.  The  theorem  has  proved  that  the  velocity  of  signal  propagation  in 
medium does not depend on undular frame selected. The location of undular frames cannot be 
determined  relatively  to  the medium-carrier of waves. Between undular  frames  the principle 
of  relativity  is completely observed,  is not possible  to distinguish any undular  frame.  If  the 
waves  interactions  are  considered  in  undular  frames,  then  there  are  gained  not  only  trivial 
solutions  corresponding  to  a  principle  of  superposition,  but  also  solutions, which  describe 

interactions  between  waves  as  between  mechanical  particles.  At  the  interaction  of  stable 
standing wave with the traveling wave the quantization of the latter takes place. 
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