Decay Mode Solutions to Cylindrical KP Equation
Mingliang Wang, Jinliang Zhang, Xiangzheng Li
TL;DR
This paper derives decay mode solutions for the cylindrical KP equation using a nonlinear transformation via the simplified homogeneous balance method, providing new solutions that differ from previous results.
Contribution
It introduces a novel nonlinear transformation method to obtain decay mode solutions for the cylindrical KP equation, expanding the solution space.
Findings
Derived 1-decay mode solutions
Derived 2-decay mode solutions
Results differ from previous literature
Abstract
A nonlinear transformation for the cylindrical KP(CKP) equation has been derived by using the simplified homogeneous balance method (SHB). The 1-decay mode and 2-decay mode solutions of the CKP equation have been obtained in terms of the nonlinear transformation derived here. The results obtained in the paper are different from those obtained in the previous literaturs.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Numerical methods for differential equations