Inverse Obstacle Problem for the Non-Stationary Wave Equation with an Unknown Background

In this study, the auxiliary equation method is applied successfully to the Lonngren wave equation. Bright soliton, bright–dark soliton solutions are produced, which play an important role in the distribution and distribution of electric charge. In the conclusion and discussion section, the effect of nonlinearity term on wave behavior in bright soliton traveling wave solution is examined. The advantages and disadvantages of the method are discussed. While graphs representing the stationary wave are obtained, special values are given to the constants in the solutions. These graphs are presented as 3D, 2D and contour.

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Stability of planar stationary wave for damped wave equation with nonlinear convection in half space

Hyperbolic Problems: Theory, Numerics and Applications - Proceedings of Symposia in Applied Mathematics ◽

10.1090/psapm/067.2/2605293 ◽

2009 ◽

pp. 977-986

Author(s):

Yoshihiro Ueda ◽

Tohru Nakamura ◽

Shuichi Kawashima

Keyword(s):

Wave Equation ◽

Half Space ◽

Stationary Wave ◽

Damped Wave Equation ◽

Nonlinear Convection

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BOUNDARY VALUE PROBLEM FOR THE WAVE EQUATIONS

Reviews in Mathematical Physics ◽

10.1142/s0129055x90000077 ◽

1990 ◽

Vol 02 (02) ◽

pp. 177-191 ◽

Cited By ~ 3

Author(s):

P. HILLION

Keyword(s):

Wave Equation ◽

Boundary Value Problem ◽

Cylindrical Surface ◽

Explicit Solution ◽

Wave Equations ◽

Boundary Value ◽

Stationary Wave ◽

Boundary Function ◽

Surface Of Revolution ◽

Wave Solutions

We consider the stationary wave solutions of the wave equation propagating along the z direction and we discuss the boundary value problem when the boundary function is given on a space-time hypersurface [Formula: see text] with equation [Formula: see text]. An explicit solution is obtained when [Formula: see text] is either a cylindrical surface with axis along x or y on a surface of revolution around z−ct.

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RECOVERING OF A ST VERING OF A STATIONARY EXTERN Y EXTERNAL FORCE B AL FORCE BY DISTRIBUTIONSRECOVERING OF A ST VERING OF A STATIONARY EXTERN Y EXTERNAL FORCE B AL FORCE BY DISTRIBUTIONS

Scientific Reports of Bukhara State University ◽

10.52297/2181-1466/2019/3/4/2 ◽

2019 ◽

Vol 3 (4) ◽

pp. 97-101

Author(s):

Askar Ahmadovich Rahmonov ◽

Keyword(s):

Wave Equation ◽

External Force ◽

Existence And Uniqueness ◽

Stationary Wave ◽

Generalized Functions

In the article there is researched how to construct the external force on the stationary wave equation and restores it with generalized functions. This problem hasn’t solved for transcendental cases. We have some a little result for it and the next work we will bring that cases Thus, the theorems of existence and uniqueness have been proved.

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