Misjura N. Geometrical design of solitary waves by method of pseudospheres

Object - the geometrical form of the pseudo-spherical surface adequate to the form of a lonely separated wave (soliton); the purpose - to develop grapho-analytical main-tenance for visualization with use computer schedules and the analysis of the geometrical form of pseudo-spherical surfaces with the purpose of a presence of decisions of the differential equations a sine - Gordon and Cortevega de Vrize; methods - the theory of the differential equations, elements of the theory of fluctuations, dynamic systems and calculus mathematics, and also elements computer sched-ules in the environment of mathematical processor Maple; theoretical and practical results - the problem of geometrical modelling and visualization of the geometrical form of sur-faces which answer versions of decisions of the differential equations a sine - Gordon and Cortevega de Vrize that promotes the further development of ways of research of lonely waves and their interactions is solved; scientific nov-elty - has found the further development a way of the de-scription and visualization of pseudo-spherical surfaces of parabolic, hyperbolic and elliptic types which has allowed to expand set of means of the description of versions of surfaces, has found the further development a way of the analytical description of sequence of versions of pseu-dospheres with the help of transformation Backlund that has allowed to expand versions of grapho-analytical trans-formations in applied geometry; for the first time the way of drawing up of computer animation films of change of the form of a pseudo-spherical surface is received depending on parameters solitons, that has allowed to analyze lonely waves in time; degree of introduction - it is introduced on Open Society " Kharkov tractor factory" for calculation of system of submission of fuel of the diesel engine, and into educational process of faculty of engineering and rescue technical equipment of University of civil protection; sphere of use - development of new ways of research of nonlinear environments where it is necessary to take into account effects of presence in them solitons, creation of algorithms of calculation of distribution of lonely waves in environ-ments with nonlinear characteristics.