A note on rational solutions to a Hirota-Satsuma-like equation
From MaRDI portal
Publication:274217
DOI10.1016/j.aml.2015.12.019zbMath1343.35066OpenAlexW2253078567MaRDI QIDQ274217
Shou-Ting Chen, Chaudry Masood Khalique, Xing Lü, Wen-Xiu Ma
Publication date: 22 April 2016
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2015.12.019
Related Items (55)
Bright and dark optical solitons for the generalized variable coefficients nonlinear Schrödinger equation ⋮ A study on lump solutions to a (2+1)-dimensional completely generalized Hirota-Satsuma-Ito equation ⋮ The generalized kudryashov method for new closed form traveling wave solutions to some NLEEs ⋮ Rational solutions for a combined \((3+1)\)-dimensional generalized BKP equation ⋮ Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation ⋮ Constructing lump solutions to a generalized Kadomtsev-Petviashvili-Boussinesq equation ⋮ Dispersive and propagation of shallow water waves as a higher order nonlinear Boussinesq-like dynamical wave equations ⋮ A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws ⋮ Periodic and solitary wave solutions for a generalized variable-coefficient Boiti-Leon-Pempinlli system ⋮ Breather, lump and \(X\) soliton solutions to nonlocal KP equation ⋮ Symbolic computation on exact solutions of a coupled Kadomtsev-Petviashvili equation: Lie symmetry analysis and extended tanh method ⋮ A note on the Gaussons of some new logarithmic evolution equations ⋮ Rogue wave solutions and generalized Darboux transformation for an inhomogeneous fifth-order nonlinear Schrödinger equation ⋮ TRAVELING WAVE SOLUTIONS TO A MATHEMATICAL MODEL OF FRACTIONAL ORDER (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION ⋮ Stability analysis and abundant closed-form wave solutions of the Date-Jimbo-Kashiwara-Miwa and combined sinh-cosh-Gordon equations arising in fluid mechanics ⋮ Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model ⋮ Rational solutions of a \((2+1)\)-dimensional Sharma-Tasso-Olver equation ⋮ Hybrid soliton and breather waves, solution molecules and breather molecules of a \((3+1)\)-dimensional Geng equation in shallow water waves ⋮ Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation ⋮ Double-periodic soliton solutions for the new \((2+1)\)-dimensional KdV equation in fluid flows and plasma physics ⋮ Perturbed optical solitons with conformable time-space fractional Gerdjikov-Ivanov equation ⋮ Modulational instability and quantum local modes in easy-axis ferromagnetic chains with the Dzyaloshinskii-Moriya interaction ⋮ New periodic wave, cross-kink wave and the interaction phenomenon for the Jimbo-Miwa-like equation ⋮ Wronskian and Grammian solutions for a \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation ⋮ Modulational instability and discrete breathers in a nonlinear helicoidal lattice model ⋮ Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation ⋮ Bäcklund transformation, exact solutions and interaction behaviour of the (3+1)-dimensional Hirota-Satsuma-Ito-like equation ⋮ Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation ⋮ New solitary wave solutions of some nonlinear models and their applications ⋮ Loop-like kink breather and its transition phenomena for the Vakhnenko equation arising from high-frequency wave propagation in electromagnetic physics ⋮ Abundant lump solution and interaction phenomenon of (3+1)-dimensional generalized Kadomtsev-Petviashvili equation ⋮ A study on lump solutions to a generalized Hirota-Satsuma-ito equation in \((2+1)\)-dimensions ⋮ Bäcklund transformations, rational solutions and soliton-cnoidal wave solutions of the modified Kadomtsev-Petviashvili equation ⋮ Jacobi elliptic wave solutions for two variable coefficients cylindrical Korteweg-de Vries models arising in dusty plasmas by using direct reduction method ⋮ New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation ⋮ The rational solutions and quasi-periodic wave solutions as well as interactions of \(N\)-soliton solutions for \(3 + 1\) dimensional Jimbo-Miwa equation ⋮ Multiple soliton solutions for the new \((2 + 1)\)-dimensional Korteweg-de Vries equation by multiple \(\exp\)-function method ⋮ Intrinsic localized spin wave modes and modulational instability in a two-dimensional Heisenberg ferromagnet ⋮ Wronskian and linear superposition solutions to generalized KP and BKP equations ⋮ Rational solutions to two new KP-like equations ⋮ Modified method of simplest equation and its applications to the Bogoyavlenskii equation ⋮ Quantum breathers and two-breathers in the \(\beta\)-Fermi-Pasta-Ulam chain with the second-neighbor coupling ⋮ A study on resonant multi-soliton solutions to the (2+1)-dimensional Hirota-Satsuma-Ito equations via the linear superposition principle ⋮ Lax pair and lump solutions for the \((2+1)\)-dimensional DJKM equation associated with bilinear Bäcklund transformations ⋮ Interaction behaviors for the \((2+1)\)-dimensional Sawada-Kotera equation ⋮ Diversity of exact solutions to a (3 + 1)-dimensional nonlinear evolution equation and its reduction ⋮ Optical breathers and rogue waves via the modulation instability for a higher-order generalized nonlinear Schrödinger equation in an optical fiber transmission system ⋮ Propagation of traveling wave solutions for nonlinear evolution equation through the implementation of the extended modified direct algebraic method ⋮ Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions ⋮ Lump solutions to a generalized Hietarinta-type equation via symbolic computation ⋮ A new nonlinear equation with lump-soliton, lump-periodic, and lump-periodic-soliton solutions ⋮ A new perspective to discuss Korteweg-de Vries-like equation ⋮ Bilinear neural network method to obtain the exact analytical solutions of nonlinear partial differential equations and its application to p-gBKP equation ⋮ Lump and lump-type solutions of the generalized \((3+1)\)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili equation ⋮ A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS
Uses Software
Cites Work
- Unnamed Item
- Trilinear equations, Bell polynomials, and resonant solutions
- Hirota bilinear equations with linear subspaces of hyperbolic and trigonometric function solutions
- Quantum solitons and breathers in an anisotropic ferromagnet with octupole-dipole interaction
- N-Soliton Solutions of Model Equations for Shallow Water Waves
- On the Hirota Representation of Soliton Equations with One Tau-Function
This page was built for publication: A note on rational solutions to a Hirota-Satsuma-like equation