Abstract
Abstract In this paper, we introduce the concept of nonlinear intensity and study the new type solitary wave solutions of nonlinear intensity Klein–Gordon equation. Applying the improved generalized projective Riccati method, abundant exact solitary wave solutions are obtained. By using ansatzes, nonsymmetrical compacton, multi-compacton solutions, pattern solitary wave solutions and singular periodic wave solutions are found. Then, we discuss the changes of compacton solutions under various nonlinear intensity parameters and get the compacton solutions of higher dimensions nonlinear intensity Klein–Gordon equation.
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