Reduction and diversity of exact solutions for a class of generalized KP equations

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Reduction and diversity of exact solutions for a class of generalized KP equations

机译：一类广义KP方程的精确解决方案的减少和多样性

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We aim to investigate a class of generalized KP and BKP equations for which exist abundant exact solutions. The resulting two-wave solutions involve particular phase shifts and wave frequencies generating complexitons. Special reductions of the parameters present concrete examples of phase shifts and wave frequencies. It is also pointed out that the presented equations can be transformed into many well-known equations associated with bilinear forms. Moreover, a class of lump-type solutions is generated through symbolic computations with Maple. Three illustrative examples are given to show the diversity of exact solutions to the introduced equations.

机译：我们的目标是调查一类广义KP和BKP方程，其中存在丰富的精确解决方案。由此产生的两波解决方案涉及特定的相移和波频产生复合物。参数的特殊缩短呈现相移和波浪频率的具体示例。还指出，所提出的等式可以转变为与双线性形式相关的许多公知的等式。此外，通过与枫箍的符号计算产生一类块型解决方案。给出了三个说明性示例以显示引入的方程的精确解的分集。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2020年第3期|共10页
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正文语种 eng
中图分类物理学;
关键词
generalized KP and BKP equations; reduction; complexiton solutions; lump-type solutions; Hirota's bilinear form;

机译：广义KP和BKP方程;减少;Complexiton解决方案;块型解决方案;Hirota的双线性形式;

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1. Reduction and diversity of exact solutions for a class of generalized KP equations [J] . Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2020,第3期

机译：一类广义KP方程的精确解决方案的减少和多样性
2. On exact travelling wave solutions for two types of nonlinear K (n, n) equations and a generalized KP equation [J] . Lai SY, Wu YH, Wiwatanapataphee B Journal of Computational and Applied Mathematics . 2008,第2期

机译：关于两种非线性K（n，n）方程和广义KP方程的精确行波解
3. New exact periodic solitary-wave solutions for the (3+1)-dimensional generalized KP and BKP equations [J] . Tang Yaning, Zai Weijian Computers & mathematics with applications . 2015,第10期

机译：（3 + 1）维广义KP和BKP方程的新精确周期孤波解
4. Exact Solution of (2+l)-Dimensional KP-BBM Equations via (G'/G) -expansion Method [C] . Xinmou Ma, Yutian Pan, Liezhen Chang International conference on computer design and applications . 2011

机译：（G'/ G）-展开法求解（2 + 1）维KP-BBM方程的精确解
5. Exact Topological Soliton Solutions of the Dispersive, Strongly Perturbed, and 2D Sine-Gordon Type Equations [D] . Johnson, Stephen. 2018

机译：分散，强烈扰动和2D正弦戈登型方程的确切拓扑孤子解决方案
6. Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method [O] . Md Nur Alam, M Ali Akbar -1

机译：新的广义（G/ G）-展开法求解KP-BBM方程的精确行波解
7. Reductions and New Exact Solutions of ZK, Gardner KP, and Modified KP Equations via Generalized Double Reduction Theorem [O] . R. Naz, Z. Ali, I. Naeem 2013

机译：通过广义双重减少定理减少和新的ZK，Gardner KP和改进的KP方程的精确解决方案

Reduction and diversity of exact solutions for a class of generalized KP equations

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