Lump solutions and interaction solutions for the dimensionally reduced nonlinear evolution equation
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Publication:2008332
DOI10.1155/2019/5765061zbMath1432.35186OpenAlexW2982698161WikidataQ126861776 ScholiaQ126861776MaRDI QIDQ2008332
Publication date: 25 November 2019
Published in: Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/5765061
KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)
Related Items (5)
Multiple lump solutions and their interactions for an integrable nonlinear dispersionless PDE in vector fields ⋮ Combined damped sinusoidal oscillation solutions to the \((3 + 1)\)-D variable-coefficient generalized NLW equation in liquid with gas bubbles ⋮ Symmetry groups, similarity reductions, and conservation laws of the time-fractional Fujimoto-Watanabe equation using Lie symmetry analysis method ⋮ Breather wave solutions for the \((3+1)\)-D generalized shallow water wave equation with variable coefficients ⋮ \(N\)-lump solutions to a \((3+1)\)-dimensional variable-coefficient generalized nonlinear wave equation in a liquid with gas bubbles
Cites Work
- Breather-type multi-solitary waves to the Kadomtsev-Petviashvili equation with positive dispersion
- Hirota bilinear equations with linear subspaces of solutions
- Frobenius integrable decompositions of nonlinear evolution equations with modified term
- Mixed lump-soliton solutions to the two-dimensional Toda lattice equation via symbolic computation
- A direct bilinear Bäcklund transformation of a \((2+1)\)-dimensional Korteweg-de Vries-like model
- A \((3+1)\)-dimensional nonlinear evolution equation with multiple soliton solutions and multiple singular soliton solutions
- Breather wave, rogue wave and solitary wave solutions of a coupled nonlinear Schrödinger equation
- A study on lump solutions to a generalized Hirota-Satsuma-ito equation in \((2+1)\)-dimensions
- Inverse scattering transformation and soliton stability for a nonlinear Gross-Pitaevskii equation with external potentials
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- Analytic solutions of a microstructure PDE and the KdV and Kadomtsev-Petviashvili equations by invariant Painlevé analysis and generalized Hirota techniques
- The tanh method and a variable separated ODE method for solving double sine-Gordon equation
- Interaction solutions of a \((2+1)\)-dimensional dispersive long wave system
- Rational solutions and lump solutions to the generalized \((3+1)\)-dimensional shallow water-like equation
- Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions
- Rogue wave and a pair of resonance stripe solitons to KP equation
- Rational solutions of the (2+1)-dimensional Kaup-Kupershmidt equation
- Multiple rogue wave solutions for a (3+1)-dimensional Hirota bilinear equation
- Inverse scattering transformation for generalized nonlinear Schrödinger equation
- Dynamic behaviors of interaction solutions of (3 + 1)-dimensional shallow water wave equation
- N-soliton solutions of the coupled Kundu equations based on the Riemann-Hilbert method
- Prolongation structures and \(N\)-soliton solutions for a new nonlinear Schrödinger-type equation via Riemann-Hilbert approach
- Behavior of the correction equations in the Jacobi-Davidson method
- Solution to PSPACE-complete problem using P systems with active membranes with time-freeness
- Interaction solutions to Hirota-Satsuma-Ito equation in (2 + 1)-dimensions
- Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
- Lump and line soliton pairs to a \((2+1)\)-dimensional integrable Kadomtsev-Petviashvili equation
- Lump solutions to the Kadomtsev-Petviashvili equation
- Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrödinger equation
- Rogue wave solutions of AB system
- Lie point symmetry, conservation laws and exact power series solutions to the Fujimoto-Watanabe equation
- Rational and semi‐rational solutions of a nonlocal (2 + 1)‐dimensional nonlinear Schrödinger equation
- Exact Periodic Wave Solution of Extended (2+1)-Dimensional Shallow Water Wave Equation with Generalized D -operators*
- A SEARCH FOR LUMP SOLUTIONS TO A COMBINED FOURTH-ORDER NONLINEAR PDE IN (2+1)-DIMENSIONS
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