Analytical methods for the variable-coefficient KP equation and its wave solutions in weakly dispersive media
DOI10.1007/s13137-021-00182-2zbMath1479.35184OpenAlexW3186581371MaRDI QIDQ2059124
Publication date: 13 December 2021
Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13137-021-00182-2
rational solutionhyperbolic function solutiontrigonometric function solutioninverse scattering transform (IST)Jacobi elliptic function solutionKadomtsev-Petviashvili (KP) equationLax schemevcKP equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Analyticity in context of PDEs (35A20) Initial value problems for nonlinear higher-order PDEs (35G25) Exact solutions to problems in general relativity and gravitational theory (83C15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)
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