THE KADOMTSEV–PETVIASHVILI EQUATION WITH SELF-CONSISTENT SOURCES IN NONUNIFORM MEDIA

Hong-hai Hao; Da-jun Zhang; Shu-fang Deng

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THE KADOMTSEV–PETVIASHVILI EQUATION WITH SELF-CONSISTENT SOURCES IN NONUNIFORM MEDIA

机译：非均匀介质中具有自洽源的KADOMTSEV-PETVIASHVILI方程

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摘要

We derive the nonisospectral Kadomtsev–Petviashvili equation with self-consistent sources and obtain N-soliton solutions of the equation by both Hirota’s method and the Wronskian technique. We discuss one-soliton characteristics, two-soliton scattering in nonuniform media, and source effects.

机译：我们推导了具有自洽源的非等谱Kadomtsev–Petviashvili方程，并通过Hirota方法和Wronskian技术获得了该方程的N孤子解。我们讨论了非孤立介质中的一孤子特性，两孤子散射以及源效应。

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《Theoretical and mathematical physics》 |2009年第2期|共16页
作者
Hong-hai Hao; Da-jun Zhang; Shu-fang Deng;
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正文语种 eng
中图分类 533LB008;
关键词
nonisospectral Kadomtsev–Petviashvili equation with self-consistent sources; Hirota’s meth-od; Wronskian technique; dynamical characteristic; soliton resonance;

机译：具有自洽源的非等谱Kadomtsev–Petviashvili方程;Hirota方法;Wronskian技术;动力学特性;孤子共振;

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专利

1. THE KADOMTSEV–PETVIASHVILI EQUATION WITH SELF-CONSISTENT SOURCES IN NONUNIFORM MEDIA [J] . Hong-hai Hao, Da-jun Zhang, Shu-fang Deng Theoretical and mathematical physics . 2009,第2期

机译：非均匀介质中具有自洽源的KADOMTSEV-PETVIASHVILI方程
2. New type of a generalized variable-coefficient Kadomtsev-Petviashvili equation with self-consistent sources and its Grammian-type solutions [J] . Zhang Yi, Xu Yue, Ma Kun Communications in Nonlinear Science and Numerical Simulation . 2016,第auga期

机译：具有自洽源的新型广义变系数Kadomtsev-Petviashvili方程及其Grammian型解
3. The non-isospectral modified Kadomtsev-Petviashvili equation with self-consistent sources and its coupled system [J] . Sun Y.-P. Applied mathematics and computation . 2010,第4期

机译：具有自洽源的非等谱修正Kadomtsev-Petviashvili方程及其耦合系统
4. Time evolution of perturbed solitons of modified Kadomtsev-Petviashvili equations [C] . Phibanchon, Sarun, Allen, . 2007

机译：修正的Kadomtsev-Petviashvili方程的摄动孤子的时间演化
5. Local Well-Posedness of the Modified Kadomtsev-Petviashvili I Equations [D] . ?Bozgan, Francisc 2020

机译：修正 Kadomtsev - Petviashvili 我方程的局部适定性
6. Constants and pseudo-constants of the Kadomtsev-Petviashvili equation [O] . K. M. Case 1985

机译：Kadomtsev-Petviashvili方程的常数和拟常数
7. The matrix Kadomtsev--Petviashvili equation as a source of integrable nonlinear equations [O] . Maccari, A. 2002

机译：矩阵Kadomtsev - petviashvili方程作为可积的来源非线性方程

THE KADOMTSEV–PETVIASHVILI EQUATION WITH SELF-CONSISTENT SOURCES IN NONUNIFORM MEDIA

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