A study of multi-soliton solutions, breather, lumps, and their interactions for kadomtsev-petviashvili equation with variable time coeffcient using hirota method

Study on dynamical behavior of multiple lump solutions and interaction between solitons and lump wave

(2021) Yu Tian et al.   NONLINEAR DYNAMICS

An investigation to the nonlinear (2 + 1)-dimensional soliton equation for discovering explicit and periodic wave solutions

(2021) M. Akher Chowdhury et al.   Results in Physics

Dark soliton solutions for a coupled nonlinear Schrödinger system

(2021) Xue-Hui Zhao   APPLIED MATHEMATICS LETTERS

New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions

(2021) Yu-Lan Ma et al.   NONLINEAR DYNAMICS

Lie symmetries, optimal system, group-invariant solutions and dynamical behaviors of solitary wave solutions for a (3+1)-dimensional KdV-type equation

(2021) Sachin Kumar et al.   European Physical Journal Plus

Interaction of multiple superposition solutions for the $$(4 + 1)$$-dimensional Boiti-LeonManna-Pempinelli equation

(2021) Peng-Fei Han et al.   NONLINEAR DYNAMICS

Invariance analysis, optimal system, closed-form solutions and dynamical wave structures of a (2+1)-dimensional dissipative long wave system

(2021) Sachin Kumar et al.   PHYSICA SCRIPTA

Breather, soliton and rogue wave of a two-component derivative nonlinear Schrödinger equation

(2021) Hui-Xian Jia et al.   PHYSICS LETTERS A

N-lump and interaction solutions of localized waves to the (2 + 1)-dimensional generalized KP equation

(2021) Haixia Zhang et al.   Results in Physics

Some new families of exact solitary wave solutions of the Klein–Gordon–Zakharov equations in plasma physics

(2021) Sachin Kumar   PRAMANA-JOURNAL OF PHYSICS

Lie symmetry analysis and generalized invariant solutions of (2+1)-dimensional dispersive long wave (DLW) equations

(2020) Sachin Kumar et al.   PHYSICA SCRIPTA

Nonlinear waves behaviors for a coupled generalized nonlinear Schrödinger–Boussinesq system in a homogeneous magnetized plasma

(2020) Zhong-Zhou Lan et al.   NONLINEAR DYNAMICS

Rogue wave solutions for a higher-order nonlinear Schrödinger equation in an optical fiber

(2020) Zhong-Zhou Lan   APPLIED MATHEMATICS LETTERS

Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation

(2020) Sachin Kumar et al.   CHAOS SOLITONS & FRACTALS

Lie symmetries, optimal system and group-invariant solutions of the (3+1)-dimensional generalized KP equation

(2020) Sachin Kumar et al.   CHINESE JOURNAL OF PHYSICS

Interactions between soliton and rogue wave for a (2+1)-dimensional generalized breaking soliton system: Hidden rogue wave and hidden soliton

(2019) Yu-Lan Ma et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Darboux transformation and analytic solutions for a generalized super-NLS-mKdV equation

(2019) Xue Guan et al.   NONLINEAR DYNAMICS

Lie symmetry reductions and group invariant solutions of (2 + 1)-dimensional modified Veronese web equation

(2019) Sachin Kumar et al.   NONLINEAR DYNAMICS

Bäcklund transformation, rogue wave solutions and interaction phenomena for a $$\varvec{(3+1)}$$(3+1)-dimensional B-type Kadomtsev–Petviashvili–Boussinesq equation

(2018) Xue-Wei Yan et al.   NONLINEAR DYNAMICS

Two new integrable Kadomtsev–Petviashvili equations with time-dependent coefficients: multiple real and complex soliton solutions

(2018) Abdul-Majid Wazwaz   Waves in Random and Complex Media

Wronskian, Pfaffian and periodic wave solutions for a $$(2 + 1)$$ ( 2 + 1 ) -dimensional extended shallow water wave equation

(2017) Qian-Min Huang et al.   NONLINEAR DYNAMICS

Kadomtsev–Petviashvili hierarchy: N-soliton solutions and distinct dispersion relations

(2016) Abdul-Majid Wazwaz   APPLIED MATHEMATICS LETTERS

Rational solutions to an extended Kadomtsev-Petviashvili-like equation with symbolic computation

(2016) Xing Lü et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Soliton and rogue-wave solutions for a (2 + 1)-dimensional fourth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain

(2016) Hui-Min Li et al.   NONLINEAR DYNAMICS

Lump solution and integrability for the associated Hirota bilinear equation

(2016) Chuanjian Wang   NONLINEAR DYNAMICS

Lump solutions to the Kadomtsev–Petviashvili equation

(2015) Wen-Xiu Ma   PHYSICS LETTERS A

Bäcklund transformations and soliton solutions for a $$(3+1)$$ ( 3 + 1 ) -dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics

(2014) Zhi-Ruo Huang et al.   NONLINEAR DYNAMICS

Bilinear form and soliton interactions for the modified Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics

(2013) Yan Jiang et al.   NONLINEAR DYNAMICS

Pfaffian solutions to a (3+1)-dimensional generalized B-type Kadomtsev–Petviashvili equation and its modified counterpart

(2011) Magdy G. Asaad et al.   APPLIED MATHEMATICS AND COMPUTATION

Multiple soliton solutions for a (2+1)-dimensional integrable KdV6 equation

(2009) Abdul-Majid Wazwaz   Communications in Nonlinear Science and Numerical Simulation

The Hirota’s direct method for multiple-soliton solutions for three model equations of shallow water waves

(2008) Abdul-Majid Wazwaz   APPLIED MATHEMATICS AND COMPUTATION