Some exact invariant solutions in the nonlinear theory of waves
Abstract
The paper analyzes the group properties of the Born-Infeld equation and the generalized Klein-Gordon equation. Certain exact invariant H-solutions are obtained for these equations. Soliton type solutions are obtained for the Klein-Gordon equations.
- Publication:
-
In: Boundary value problems of mathematical physics. (A80-49765 22-70) Kiev
- Pub Date:
- 1978
- Bibcode:
- 1978bvpm.proc..122N
- Keywords:
-
- Group Theory;
- Nonlinear Equations;
- Wave Equations;
- Wave Propagation;
- Invariance;
- Klein-Gordon Equation;
- Partial Differential Equations;
- Solitary Waves;
- Fluid Mechanics and Heat Transfer