Constructing lump solutions to a generalized Kadomtsev–Petviashvili–Boussinesq equation

Integrability and exact solutions of a two-component Korteweg–de Vries system

(2016) Deng-Shan Wang et al.   APPLIED MATHEMATICS LETTERS

A note on rational solutions to a Hirota-Satsuma-like equation

(2016) Xing Lü et al.   APPLIED MATHEMATICS LETTERS

Soliton excitations and shape-changing collisions in alpha helical proteins with interspine coupling at higher order

(2016) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

Solitary waves with the Madelung fluid description: A generalized derivative nonlinear Schrödinger equation

(2016) Xing Lü et al.   Communications in Nonlinear Science and Numerical Simulation

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

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

Rational solutions to a KdV-like equation

(2015) Yi Zhang et al.   APPLIED MATHEMATICS AND COMPUTATION

Exact rational solutions to a Boussinesq-like equation in ( 1 + 1 )-dimensions

(2015) Chang-Guang Shi et al.   APPLIED MATHEMATICS LETTERS

Optical solitons in nonlinear directional couplers by sine–cosine function method and Bernoulli’s equation approach

(2015) Mohammad Mirzazadeh et al.   NONLINEAR DYNAMICS

Spatiotemporal localizations in (3+1) ( 3 + 1 ) -dimensional \mathcal {PT PT -symmetric and strongly nonlocal nonlinear media

(2015) Chao-Qing Dai et al.   NONLINEAR DYNAMICS

Lump solutions to dimensionally reduced $$\varvec{p}$$ p -gKP and $$\varvec{p}$$ p -gBKP equations

(2015) Wen Xiu Ma et al.   NONLINEAR DYNAMICS

Lump solutions to the Kadomtsev–Petviashvili equation

(2015) Wen-Xiu Ma   PHYSICS LETTERS A

Rogue waves for Kadomstev-Petviashvili equation in electron-positron-ion plasma

(2014) S. A. El-Wakil et al.   ASTROPHYSICS AND SPACE SCIENCE

An analysis of the Zhiber-Shabat equation including Lie point symmetries and conservation laws

(2014) R. M. Morris et al.   Collectanea Mathematica

Additional conservation laws for Rosenau–KdV–RLW equation with power law nonlinearity by Lie symmetry

(2014) Polina Razborova et al.   NONLINEAR DYNAMICS

Integrability with symbolic computation on the Bogoyavlensky–Konoplechenko model: Bell-polynomial manipulation, bilinear representation, and Wronskian solution

(2014) Xing Lü et al.   NONLINEAR DYNAMICS

Nonautonomous solitons in modified inhomogeneous Hirota equation: soliton control and soliton interaction

(2014) M. S. Mani Rajan et al.   NONLINEAR DYNAMICS

Bilinear Equations and Resonant Solutions Characterized by Bell Polynomials

(2014) Wen-Xiu Ma   REPORTS ON MATHEMATICAL PHYSICS

New bilinear Bäcklund transformation with multisoliton solutions for the (2+1)-dimensional Sawada–Kotera model

(2013) Xing Lü   NONLINEAR DYNAMICS

Hirota bilinear equations with linear subspaces of solutions

(2012) Wen-Xiu Ma et al.   APPLIED MATHEMATICS AND COMPUTATION

Linear superposition principle applying to Hirota bilinear equations

(2011) Wen-Xiu Ma et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Bell-polynomial construction of Bäcklund transformations with auxiliary independent variable for some soliton equations with one Tau-function

(2011) Xing Lü et al.   NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

A study of shallow water waves with Gardner’s equation

(2011) E. V. Krishnan et al.   NONLINEAR DYNAMICS

Bell-polynomial manipulations on the Bäcklund transformations and Lax pairs for some soliton equations with one Tau-function

(2010) Xing Lü et al.   JOURNAL OF MATHEMATICAL PHYSICS

Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients

(2009) Anjan Biswas   NONLINEAR DYNAMICS

A second Wronskian formulation of the Boussinesq equation

(2008) Wen-Xiu Ma et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS