6533b82ffe1ef96bd1295213

RESEARCH PRODUCT

A FAMILY OF THE SPIRAL SOLUTIONS OF THE NONLINEAR KLEIN‐GORDON EQUATION

V. V. Gudkov

subject

Partial differential equationDifferential equationFirst-order partial differential equationExact differential equation-Kadomtsev–Petviashvili equationParabolic partial differential equationsymbols.namesakeModeling and SimulationQA1-939symbolsFisher's equationHyperbolic partial differential equationMathematicsAnalysisMathematical physicsMathematics

description

A family of the functions, intended for a construction the exact travelling wave solutions of nonlinear partial differential equations, is given. Exact solutions of the Klein‐Gordon equation with a special potential are obtained. The behavior of complex and hypercomplex solutions of the second order is presented. First Published Online: 14 Oct 2010

https://doi.org/10.3846/13926292.1998.9637092