## Found 2,370 Documents (Results 1–100)

100
MathJax

### Integrability, conservation laws and exact solutions for a model equation under non-canonical perturbation expansions. (English)Zbl 07549984

MSC:  35Cxx 70H33 58J72
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### A type I defect and new integrable boundary conditions for the coupled nonlinear Schrödinger equation. (English)Zbl 07538097

MSC:  37-XX 58-XX
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### Bound states of dark solitons in $$N$$-coupled complex modified Korteweg-de Vries equations. (English)Zbl 07506760

MSC:  37K15 37K35 37K40
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### An update of a Bäcklund transformation and its applications to the Boussinesq system. (English)Zbl 07484264

MSC:  37Kxx 35Qxx 39Axx
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### On a fermionic extension of $$K(-1,-2)$$ equation. (English)Zbl 1480.35346

MSC:  35Q51 37K10 37K35
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### A super KdV equation of Kupershmidt: Bäcklund transformation, Lax pair and related discrete system. (English)Zbl 07452168

MSC:  81-XX 82-XX
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### Non-auto-Bäcklund transformation and novel abundant explicit exact solutions of the variable coefficients burger equation. (English)Zbl 07514625

MSC:  83C15 34A34
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### Symmetry analysis, analytical solutions and conservation laws of a generalized KdV-Burgers-Kuramoto equation and its fractional version. (English)Zbl 1482.35027

MSC:  35B06 35Q53 35R11
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### On two generalized short pulse equations: Bäcklund transformations and applications. (Chinese. English summary)Zbl 07448167

MSC:  35R12 37K35

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### Prototype and reduced nonlinear integrable lattice systems with the modulated pulson behavior. (English)Zbl 07428507

MSC:  37-XX 70-XX
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### Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system. (English)Zbl 1477.35063

MSC:  35C08 35B06 58J72
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### $$M$$-breather, lumps, and soliton molecules for the $$(2 + 1)$$-dimensional elliptic Toda equation. (English)Zbl 1479.35407

MSC:  35J61 35A01
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### From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations. (English)Zbl 07421275

MSC:  39A36 37K60 37K35
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### Bilinear auto-Bäcklund transformations and soliton solutions of a $$(3+1)$$-dimensional generalized nonlinear evolution equation for the shallow water waves. (English)Zbl 1476.35082

MSC:  35C08 35Q35
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### Nonlinear integrable dynamics of coupled vibrational and intra-site excitations on a regular one-dimensional lattice. (English)Zbl 07411258

MSC:  81-XX 82-XX
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### A Darboux transformation and the conservation laws for the modified Boussinesq equation. (Chinese. English summary)Zbl 07404460

MSC:  37K35 35Q51 35A30

### On a nonlocal Alice-Bob-Schrödinger equation: bilinear Bäcklund and Darboux transformations and nonlinear waves. (Chinese. English summary)Zbl 07403532

MSC:  35Q51 35Q55 37K35

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### Tri-Hamiltonian duality system of Merola-Ragnisco-Tu equation. (English)Zbl 1479.37075

MSC:  37K10 37K35 37K06
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### Integrable symplectic maps via reduction of Bäcklund transformation. (English. Russian original)Zbl 1477.37063

Theor. Math. Phys. 208, No. 1, 886-895 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 39-50 (2021).
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### Soliton solutions of the nonlinear Schrödinger equation with defect conditions. (English)Zbl 1476.37084

MSC:  37K40 37K35 35Q55
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### Notes on “Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system”. (English)Zbl 1465.37076

MSC:  37K10 37K06 37K35
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### Complementarity vs coordinate transformations: mapping between pseudo-hermiticity and weak pseudo-hermiticity. (English)Zbl 1468.81046

MSC:  81Q12 37K35 47B25
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### Properties of solutions of two second-order differential equations with the Painlevé property. (English. Russian original)Zbl 1476.37079

Theor. Math. Phys. 206, No. 3, 315-320 (2021); translation from Teor. Mat. Fiz. 206, No. 3, 361-367 (2021).
MSC:  37J65 34M55 34M25
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### Darboux transformations for the strict KP hierarchy. (English. Russian original)Zbl 1477.37079

Theor. Math. Phys. 206, No. 3, 296-314 (2021); translation from Teor. Mat. Fiz. 206, No. 3, 339-360 (2021).
MSC:  37K35 37K10 37K25
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### Novikov equation: Bäcklund transformation and applications. (English. Russian original)Zbl 1473.37089

Theor. Math. Phys. 206, No. 2, 163-173 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 186-198 (2021).
MSC:  37K35 37K10
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### Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a $$(2+1)$$-dimensional KdV-mKdV equation. (English. Russian original)Zbl 1467.35297

Theor. Math. Phys. 206, No. 2, 142-162 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 164-185 (2021).
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### Binary Darboux transformation for a negative-order AKNS equation. (English. Russian original)Zbl 1472.35331

Theor. Math. Phys. 206, No. 2, 128-141 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 149-163 (2021).
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### Integrability aspects and some abundant solutions for a new $$(4 + 1)$$-dimensional KdV-like equation. (English)Zbl 1462.35334

MSC:  35Q53 37K10 37K35
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### On constant curvature submanifolds of space forms. (English)Zbl 1472.53071

Reviewer: Yong Wei (Hefei)
MSC:  53C42 53C30 58J72
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### The generalized Cole-Hopf transformation for a generalized Burgers-Fisher equation with spatiotemporal variable coefficients. (English)Zbl 1462.35011

MSC:  35A22 35C05 35K58
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### Bäcklund transformation, Pfaffian, Wronskian and Grammian solutions to the $$(3+1)$$-dimensional generalized Kadomtsev-Petviashvili equation. (English)Zbl 1456.35007

MSC:  35A25 35G20 37K10
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### Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws. (English)Zbl 1456.35073

MSC:  35C08 58J72 37K10
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### Reciprocal transformations of Harry-Dym hierarchy. (English)Zbl 1455.37059

MSC:  37K35 37K10 35P30
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### Breathing-soliton and singular rogue wave solutions for a discrete nonlocal coupled Ablowitz-Ladik equation of reverse-space type. (English)Zbl 1451.37091

MSC:  37K35 37K60 39A36
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### Symmetry broken and symmetry preserving multi-soliton solutions for nonlocal complex short pulse equation. (English)Zbl 07504037

MSC:  35Q51 37K35 35C08
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### Binary Darboux transformation of time-discrete generalized lattice Heisenberg magnet model. (English)Zbl 07503992

MSC:  37K35 37K40 35Q51
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### Lax pair, conservation laws, Darboux transformation, breathers and rogue waves for the coupled nonautonomous nonlinear Schrödinger system in an inhomogeneous plasma. (English)Zbl 1483.35207

MSC:  35Q55 37K10 37K35
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### Many-particle Schrödinger type finitely factorized quantum Hamiltonian systems and their integrability. (English)Zbl 07400858

Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 251-270 (2020).
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### Differential calculi on associative algebras and integrable systems. (English)Zbl 1469.16021

Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 385-410 (2020).
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### Lump solutions and bilinear Bäcklund transformation for the $$(4+1)$$-dimensional Fokas equation. (English)Zbl 1475.35308

MSC:  35Q53 35C05 35C08
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### The geometric Airy curve flow on $$\mathbb{R}^n$$. (English)Zbl 1471.53075

Cao, Huai-Dong (ed.) et al., Differential geometry, Calabi-Yau theory, and general relativity. Lectures given at conferences celebrating the 70th birthday of Shing-Tung Yau at Harvard University, Cambridge, MA, USA, May 2019. Somerville, MA: International Press. Surv. Differ. Geom. 23, 277-303 (2020).
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### Dynamics of solitons in the fourth-order nonlocal nonlinear Schrödinger equation. (English)Zbl 1459.35343

MSC:  35Q55 37K35 37K40
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### The two types of gauge transformation for the $$q$$-KP hierarchy. (Chinese. English summary)Zbl 1474.37085

MSC:  37K10 37K35

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