Decay mode solutions to cylindrical KP equation

DOI10.1016/j.aml.2016.06.012zbMath1356.35211arXiv1607.08796OpenAlexW2964243293MaRDI QIDQ311701

Xiangzheng Li, Jin-Liang Zhang, Ming-Liang Wang

Publication date: 13 September 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08796

zbMATH Keywords

nonlinear transformation1-decay mode solution2-decay mode solutioncylindrical KdV equationcylindrical KP equationsimplified homogeneous balance

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (9)

Soliton-like solutions of general variable coefficient (2+1)-dimensional KdV equation with linear damping term ⋮ Time-space fractional model for complex cylindrical ion-acoustic waves in ultrarelativistic plasmas ⋮ Equivalent transformation and integrability of the nonlinear Schrödinger equations with time-dependent coefficients ⋮ Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation ⋮ Decay mode solution of nonlinear boundary-initial value problems for the cylindrical (spherical) Boussinesq-Burgers equations ⋮ A symbolic computation approach to constructing rogue waves with a controllable center in the nonlinear systems ⋮ Improved equivalent transformation method for reduction NLPDEs with time-dependent variables ⋮ CK transformations, symmetries, exact solutions and conservation laws of the generalized variable-coefficient KdV types of equations ⋮ New explicit and exact traveling wave solutions of \((3+1)\)-dimensional KP equation

Cites Work

• The decay mode solutions for the cylindrical KP equation
• Two new applications of the homogeneous balance method
• Solitary wave solutions for variant Boussinesq equations
• Exact solutions for a compound KdV-Burgers equation
• Cylindrical Kadomtsev-Petviashvili equation: old and new results
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• Water waves and Korteweg–de Vries equations
• A Modern Introduction to the Mathematical Theory of Water Waves
• A note on an asymptotic solution of the cylindrical Korteweg-de Vries equation.

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